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Hannah Larson: Chow rings of moduli spaces of stable curves

Date: 2023-05-31

Time: 11:00 - 12:00

Speaker

Hannah Larson, Harvard University

Abstract

The moduli space Mbar_{g,n} of n-pointed stable genus g curves possesses certain natural classes known as tautological classes. The main question I’ll address in this talk is: for which g, n is the Chow ring of Mbar_{g,n} generated by tautological classes? We prove that this holds for several new values of g and n. In these cases, the cycle class map is an isomorphism and the moduli spaces have polynomial point count.

This is joint work with Samir Canning.