UBC Algebraic Geometry Seminar: Nikita Karpenko (Online)

  • Date: 05/08/2020
  • Time: 08:00
Lecturer(s):
Nikita Karpenko, University of Alberta.
Location: 

Online

Topic: 

An ultimate proof of Hoffmann-Totaro's conjecture

Description: 

We prove the last open case of the conjecture on the possible values of the first isotropy index of an anisotropic quadratic form over a field. It was initially stated by Detlev Hoffmann for fields of characteristic not 2 and then extended to arbitrary characteristic by Burt Totaro. The initial statement was proven by the speaker in 2002. In characteristic 2, the case of a totally singular quadratic form was done by Stephen Scully in 2015 and the nonsingular case by Eric Primozic in early 2019.

Other Information: 

Event on Zoom: Seminar on Quadratic forms, linear algebraic groups and beyond

 

https://mysite.science.uottawa.ca/kzaynull/QFLAG/index.html