SAG: Filtrations and Bloch’s conjecture for zero cycles of hyperkähler varieties of known typesSeminar Algebraic Geometry (SAG)

by Zhiyuan Li (Fudan)

Thursday Jun 11, 2026, 10:30 AM → 11:30 AM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

In this talk, I will discuss Bloch’s conjecture for birational automorphisms of hyperkähler varieties of K3^n type and generalized Kummer type. I will explain the underlying philosophy in two parts. First, how to reduce the problem to Bloch’s conjecture for (anti‑)autoequivalences of twisted surfaces. Second, the construction of the “correct” Beauville–Voisin filtration on zero cycles for these hyperkähler varieties. This philosophy works for the hyperkähler varieties arising from Bridgeland moduli spaces. The talk is based on joint works with X. Yu & R. Zhang, with Z. Chen, R. Zhang & X. Zhang, and most recently ongoing work with Z. Chen & X. Zhang.