May 6, 2014
10:00AM
-
11:30AM
Cockins Hall 240
Add to Calendar
2014-05-06 09:00:00
2014-05-06 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-07 13:00:00
2014-05-07 14:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-08 09:00:00
2014-05-08 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-12 09:30:00
2014-05-12 11:00:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
2014-05-06 10:00:00
2014-05-06 11:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
America/New_York
public
May 7, 2014
2:00PM
-
3:30PM
Cockins Hall 240
Add to Calendar
2014-05-06 09:00:00
2014-05-06 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-07 13:00:00
2014-05-07 14:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-08 09:00:00
2014-05-08 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-12 09:30:00
2014-05-12 11:00:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
2014-05-07 14:00:00
2014-05-07 15:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
America/New_York
public
May 8, 2014
10:00AM
-
11:30AM
Cockins Hall 240
Add to Calendar
2014-05-06 09:00:00
2014-05-06 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-07 13:00:00
2014-05-07 14:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-08 09:00:00
2014-05-08 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-12 09:30:00
2014-05-12 11:00:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
2014-05-08 10:00:00
2014-05-08 11:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
America/New_York
public
May 12, 2014
10:30AM
-
12:00PM
Cockins Hall 240
Add to Calendar
2014-05-06 09:00:00
2014-05-06 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-07 13:00:00
2014-05-07 14:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-08 09:00:00
2014-05-08 10:30:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
2014-05-12 09:30:00
2014-05-12 11:00:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
2014-05-12 10:30:00
2014-05-12 12:00:00
The Arithmetic Site - Alain Connes
Title: The Arithmetic SiteSpeakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,Caterina Consani of The Johns Hopkins UniversityDescription: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:May 6, 10:00 - 11:30May 7, 2:00 - 3:30May 8, 10:00 - 11:30May 12, 10:30 - 12:00, final lectureall in CH240.Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
Cockins Hall 240
America/New_York
public
Title: The Arithmetic Site
Speakers: Alain Connes, Collège de France, IHES, The Ohio State University Distinguished Professor of Mathematics,
Caterina Consani of The Johns Hopkins University
Description: Alain Connes of the Collège de France, IHES and as an OSU Distinguished Professor of Mathematics, will present a lecture course on "The Arithmetic Site" with the first introductory lecture on May 5, 2:00 - 3:30 in CH 240 given by Caterina Consani of The Johns Hopkins University. There will be a tea after this first talk at 3:30 - 4:30 in MW 724. Dr. Connes will continue the mini-course to be held:
- May 6, 10:00 - 11:30
- May 7, 2:00 - 3:30
- May 8, 10:00 - 11:30
- May 12, 10:30 - 12:00, final lecture
all in CH240.
Abstract: We have uncovered, in our joint work with C. Consani, the "Arithmetic Site" : an object of algebraic geometry deeply related to the non-commutative geometric approach to RH. The set of points of the "Arithmetic Site" over the maximal compact subring of the tropical semifield coincides with the non-commutative space quotient of the adèle class space of the field of rational numbers by the action of the maximal compact subgroup of the idele class group. As we showed earlier this is the space that yields the correct counting function to obtain the complete Riemann zeta function as Hasse-Weil zeta function. The action of the Frobenius automorphisms of the tropical semifield on the above points corresponds to the action of the multiplicative group of positive real numbers on the adele class space that yields the expected counting function. The "Arithmetic Site" is an object of algebraic geometry, the underlying space is a topos and the structure sheaf is made by semirings of characteristic 1. The square of the arithmetic site is also well-defined and the Frobenius correspondences parametrized by positive real numbers, are interpreted as subvarieties of this square. I will also discuss the link between the arithmetic site and cyclic homology through its relation with the epicyclic site.
