Michael Zeng, University of Washington
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PDL C-401
Chow groups are algebraists' version of homology. They enable us to talk about homologous cycles and intersection of ‘submanifolds’ purely within the confines of schemes, providing generalizations to these notions to varieties over more general fields. However, we often need to consider varieties with interesting symmetries, and this machinery breaks for quotient spaces coming from those group actions.
In this talk, we are going to learn about a ‘fix’ to the above problem via equivariant Chow groups. We will compute concrete examples of chow groups of singular quotients and provide hints towards the category of motivic spaces and intersection theory on quotient stacks.
Zoom Link: https://washington.zoom.us/j/92849568892