Cohomology of Moduli Spaces of Curves
Offered By: University of Chicago Department of Mathematics via YouTube
Course Description
Overview
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
Related Courses
Introduction to Algebraic Geometry and Commutative AlgebraIndian Institute of Science Bangalore via Swayam Introduction to Algebraic Geometry and Commutative Algebra
NPTEL via YouTube Basic Algebraic Geometry - Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity
NPTEL via YouTube Basic Algebraic Geometry
NIOS via YouTube Affine and Projective Geometry, and the Problem of Lines
Insights into Mathematics via YouTube