Examples of varieties satisfying multiplicative Chow-Kunneth decomposition

Abstract: The Chow ring of a variety encodes a lot of information about its geometry and is the subject of many interesting conjectures. A conjecture of Shen-Vial predicts that the Chow ring of any hyperkaehler variety admits a multiplicative Chow-Kunneth decomposition. I will begin by recalling some of the basic properties of the Chow ring, the origins of the conjecture and then discuss some of the known cases. I will discuss in detail the case of Hilbert schemes of points on a K3 surface. This is joint work in progress with R. Laterveer.

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html