Seminar on A1-topology, motives and K-theory

Witt groups of spinor varieties

by Heng Xie (University of Wuppertal)

Europe/Moscow
818-1526-4739 (Zoom)

818-1526-4739

Zoom

Description

In this talk, I will discuss the computation of Witt groups of maximal isotropic Grassmannians, aka. spinor varieties. They are examples of type D homogeneous varieties. The method relies on the Blow-up setup of Balmer-Calmès, and we investigate the connecting homomorphism via the projective bundle formula of Walter-Nenashev, the projection formula of Calmès-Hornbostel and the excess intersection formula of Fasel. The computation in the Type D case can be presented by so called "even shifted young diagrams".

This is joint work with Thomas Hudson and Arthur Martirosian.