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R-equivalence for group schemes

  • 演讲者:Philippe Gille(法国里昂大学)

  • 时间:2022-03-28 15:30-16:30

  • 地点:Zoom ID 967 248 8008, Passcode 27182818

Abstract

This is a report on a joint work with Anastasia Stavrova (St Petersburg). For a group scheme G over a ring A, we define the R-equivalence on G(A) in a compatible way with the case of algebraic groups. We compute the invariant G(A)/R in the case of a local ring when G is a torus or G is isotropic semisimple simply connected.