October 7, 2019
4:00PM - 5:00PM
CH 240
Add to Calendar
2019-10-07 16:00:00
2019-10-07 17:00:00
Commutative Algebra Seminar --William Heinzer
Speaker: William Heinzer - Purdue University
Title: The work of Roger and Sylvia Wiegand: a partial survey
Abstract: Let k be a field. In 1978, Roger Wiegand gave an axiomatic characterization of the partially ordered set Spec k[x,y], for the case where k is contained in the algebraic closure of a finite field. In 1986, Roger proved that his axioms also characterize Spec Z[x], where Z is the ring of integers. Roger conjectures that Spec A is homeomorphic to Spec Z[x], whenever A is a 2-dim domain that is finitely generated as a Z-algebra. This conjecture is still open in general. Sylvia Wiegand, Aihua Li and Serpil Saydam have proved the conjecture in some important cases.
CH 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-10-07 16:00:00
2019-10-07 17:00:00
Commutative Algebra Seminar --William Heinzer
Speaker: William Heinzer - Purdue University
Title: The work of Roger and Sylvia Wiegand: a partial survey
Abstract: Let k be a field. In 1978, Roger Wiegand gave an axiomatic characterization of the partially ordered set Spec k[x,y], for the case where k is contained in the algebraic closure of a finite field. In 1986, Roger proved that his axioms also characterize Spec Z[x], where Z is the ring of integers. Roger conjectures that Spec A is homeomorphic to Spec Z[x], whenever A is a 2-dim domain that is finitely generated as a Z-algebra. This conjecture is still open in general. Sylvia Wiegand, Aihua Li and Serpil Saydam have proved the conjecture in some important cases.
CH 240
Department of Mathematics
math@osu.edu
America/New_York
public
Speaker: William Heinzer - Purdue University
Title: The work of Roger and Sylvia Wiegand: a partial survey
Abstract: Let k be a field. In 1978, Roger Wiegand gave an axiomatic characterization of the partially ordered set Spec k[x,y], for the case where k is contained in the algebraic closure of a finite field. In 1986, Roger proved that his axioms also characterize Spec Z[x], where Z is the ring of integers. Roger conjectures that Spec A is homeomorphic to Spec Z[x], whenever A is a 2-dim domain that is finitely generated as a Z-algebra. This conjecture is still open in general. Sylvia Wiegand, Aihua Li and Serpil Saydam have proved the conjecture in some important cases.
