UBC Algebraic Geometry Seminar: Nikita Karpenko (Online)

  • Date: 05/08/2020
  • Time: 08:00
Nikita Karpenko, University of Alberta.



An ultimate proof of Hoffmann-Totaro's conjecture


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.

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