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Cohomology of Moduli Spaces of Curves

Offered By: University of Chicago Department of Mathematics via YouTube

Tags

Algebraic Geometry Courses Riemann Surfaces Courses Compactifications Courses Modular Forms Courses Moduli Space Courses Cohomology Courses Mapping Class Group Courses

Course Description

Overview

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Explore the intricacies of moduli spaces of curves in this colloquium talk by Hannah Larson from Berkeley. Delve into the cohomology of M_g, the moduli space of genus g curves, and its significance in algebraic geometry and related fields. Learn about Mumford's tautological ring, its extension to compactified moduli spaces, and the challenges in understanding the full cohomology ring of M_{g,n}-bar. Investigate the question of which cohomology groups H^k(M_{g,n}-bar) are tautological and how to approach non-tautological cases. Gain insights into joint research with Samir Canning and Sam Payne on this fundamental topic in mathematics.

Syllabus

Colloquium: Hannah Larson (Berkeley)


Taught by

University of Chicago Department of Mathematics

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