Al@Bicocca Seminar: K. Zaynullin

Motivic Lefschetz Theorem for twisted Milnor Hypersurfaces
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algebra in bicocca

Wednesday 22 May 2024 at 2 pm, as part of the Al@Bicocca seminar cycle, Kirill Zaynullin (University of Ottawa) will talk about

Title: 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

Information to attend in presence:

The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca

Information to attend online:

Visit the page https://unimib.webex.com/unimib/j.php?MTID=ma4eeb33e4d83ffebbcc7ce232c7dce02

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