Special Lecture Series: Alain Connes

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Alain Connes
May 4, 2016
10:30AM - 11:25AM
Location
Cockins 240

Date Range
Add to Calendar 2016-05-04 10:30:00 2016-05-04 11:25:00 Special Lecture Series: Alain Connes Title: The scaling site and Rieman-Roch of type IISpeaker: Alain Connes (College de France, IHES, and OSU) Abstract: I will explain the joint work with C. Consani in which we develop algebraic geometry in characteristic one using the « scaling site » as a tropical curve which allows us to transpose the basic step of the geometric proof of RH for curves in finite characteristic. The frontier of the subject is the Riemann-Roch theorem, and I will discuss the RR in tropical geometry and the type II Riemann-Roch for the periodic orbits associated to primes as analogues of the Jacobi elliptic curves, as well as the analogues of theta functions. Cockins 240 Department of Mathematics math@osu.edu America/New_York public
May 5, 2016
10:30AM - 11:25AM
Location
Cockins 240

Date Range
Add to Calendar 2016-05-05 10:30:00 2016-05-05 11:25:00 Special Lecture Series: Alain Connes Title: The scaling site and Rieman-Roch of type IISpeaker: Alain Connes (College de France, IHES, and OSU) Abstract: I will explain the joint work with C. Consani in which we develop algebraic geometry in characteristic one using the « scaling site » as a tropical curve which allows us to transpose the basic step of the geometric proof of RH for curves in finite characteristic. The frontier of the subject is the Riemann-Roch theorem, and I will discuss the RR in tropical geometry and the type II Riemann-Roch for the periodic orbits associated to primes as analogues of the Jacobi elliptic curves, as well as the analogues of theta functions. Cockins 240 Department of Mathematics math@osu.edu America/New_York public
May 6, 2016
10:30AM - 11:25AM
Location
Cockins 240

Date Range
Add to Calendar 2016-05-06 10:30:00 2016-05-06 11:25:00 Special Lecture Series: Alain Connes Title: The scaling site and Rieman-Roch of type IISpeaker: Alain Connes (College de France, IHES, and OSU) Abstract: I will explain the joint work with C. Consani in which we develop algebraic geometry in characteristic one using the « scaling site » as a tropical curve which allows us to transpose the basic step of the geometric proof of RH for curves in finite characteristic. The frontier of the subject is the Riemann-Roch theorem, and I will discuss the RR in tropical geometry and the type II Riemann-Roch for the periodic orbits associated to primes as analogues of the Jacobi elliptic curves, as well as the analogues of theta functions. Cockins 240 Department of Mathematics math@osu.edu America/New_York public
May 9, 2016
10:30AM - 11:25AM
Location
Cockins 240

Date Range
Add to Calendar 2016-05-09 10:30:00 2016-05-09 11:25:00 Special Lecture Series: Alain Connes Title: The scaling site and Rieman-Roch of type IISpeaker: Alain Connes (College de France, IHES, and OSU) Abstract: I will explain the joint work with C. Consani in which we develop algebraic geometry in characteristic one using the « scaling site » as a tropical curve which allows us to transpose the basic step of the geometric proof of RH for curves in finite characteristic. The frontier of the subject is the Riemann-Roch theorem, and I will discuss the RR in tropical geometry and the type II Riemann-Roch for the periodic orbits associated to primes as analogues of the Jacobi elliptic curves, as well as the analogues of theta functions. Cockins 240 Department of Mathematics math@osu.edu America/New_York public
Description

Title: The scaling site and Rieman-Roch of type II

Speaker: Alain Connes (College de France, IHES, and OSU)

 

Abstract: I will explain the joint work with C. Consani in which we develop algebraic geometry in characteristic one using the « scaling site » as a tropical curve which allows us to transpose the basic step of the geometric proof of RH for curves in finite characteristic. The frontier of the subject is the Riemann-Roch theorem, and I will discuss the RR in tropical geometry and the type II Riemann-Roch for the periodic orbits associated to primes as analogues of the Jacobi elliptic curves, as well as the analogues of theta functions.

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