A conjecture of Grothendieck and Serre on principal bundles

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger, Jack Huizenga.

Speaker: Roman Fedorov, UPitt

Abstract: Let G be a reductive group scheme over a regular local ring R. An old conjecture of Grothendieck and Serre predicts that such a principal bundle is trivial, if it is trivial over the fraction field of R. The conjecture has recently been proved in the "geometric" case, that is, when R contains a field. I will discuss the motivation, the geometric formulation, and the proof of the conjecture.

Room Reservation Information

Room Number: 106 McAllister

Date: 01/24/2019

Time: 11:00am - 11:50am