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学术科研

Number Theory Seminar

R-equivalence for group schemes

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.

Video recording

Ref: P. Gille and A. Stavrova, R-Equivalence on Group Schemes