Motivic Lefschetz Theorem for twisted Milnor Hypersurfaces

Time：Wed., 14:00-15:00, May 8, 2024

Venue：Lecture Hall C548 Shuangqing Complex Building

Speaker：Rui Xiong 熊锐 University of Ottawa

Abstract：

In this talk, I will discuss the motivic decomposition of a smooth hyperplane section in twisted Milnor Hypersurfaces. The key feature of our result is the appearance of a spectrum of a particular field in the decomposition. A critical ingredient is in the non-triviality of the (monodromy) Galois action on the equivariant Chow group. The steps of our proof can be likened to several theorems in Hodge theory of complex algebraic geometry. This is a joint with Kirill Zainoulline.

DATEMay 7, 2024

Related News

0
A Noether-Lefschetz type theorem for spectral varieties with applications
AbstractIn this talk, we will discuss spectral variety and related moduli spaces of Higgs pairs on surfaces. We will first introduce the geometry of moduli of Higgs pairs and the spectral varieties. Indeed, we will talk about the Noether-Lefschetz type problems and the Picard schemes of the spectral varieties. If time permits, the Picard group of generic (very general) spectral varieties and it...
1
Duflo-Kontsevich type theorem for dg manifolds | BIMSA General Lecture
AbstractDg manifolds are a useful geometric notion which unifies many important structures such ashomotopy Lie algebras, foliations and complex manifolds. In this talk, we describe a Duflo.Kontsevich type theorem for dg manifolds. The Duflo theorem of Lie theory and the Kontsevichtheorem regarding the Hoschschild cohomology of complex manifolds can both be derived asspecial cases of this Duflo-...