Séminaire Arithmétique et Géométrie Algébrique
Motives on the classifying stack of finite reductive groups
oct. 2023
Intervenant : Can Yaylali
Institution : LMO
Heure : 14h00 - 15h00
Lieu : 3L15

A finite reductive group G^F is defined as the fixed points of a reductive group G/F_q under the q-Frobenius endomorphism. Their representations were studied by Deligne-Lusztig and Brokemper gave a description of their intersection ring. Focusing on the latter, we want to relate Tate motives on F_q with G-action to equivariant Tate motives on the associated flag variety. As Tate motives admit, in certain cases, a t-structure, this should lead to a first access point of motivic representation theory of finite reductive groups.

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