Seminario Al@Bicocca: K. Zaynullin

Motivic Lefschetz Theorem for twisted Milnor Hypersurfaces
Image
algebra in bicocca

Mercoledì 22 Maggio 2024, alle ore 14:00, nel quadro del ciclo di seminari Al@Bicocca, Kirill Zaynullin (University of Ottawa) parlerà di

Titolo: Motivic Lefschetz Theorem for twisted Milnor Hypersurfaces

Abstract: We provide a family of examples of motivic decompositions of smooth projective varieties. Namely, we show that the Grothendieck-Chow motive of a smooth hyperplane section Y of an inner twisted form X of a Milnor hypersurface splits as a direct sum of shifted copies of motive of the Severi-Brauer variety of the associated cyclic algebra A and the motive of its maximal commutative subfield L A. The proof is based on non-triviality of the (monodromy) Galois action on the equivariant Chow group of Y. This is a joint project with Rui Xiong

Informazioni per partecipare in presenza:

Il seminario si terrà in Aula 3014 (3° Piano) - Edificio U5, Università degli Studi di Milano-Bicocca

Informazioni per partecipare online:

Visita la pagina https://unimib.webex.com/unimib/j.php?MTID=ma4eeb33e4d83ffebbcc7ce232c7dce02

Document
Argomento