Enumerative Problems Related to Moduli Spaces of Curves and Graphs

Explore key findings in enumerative geometry during this 70-minute lecture from the Workshop on Combinatorics of Enumerative Geometry, where Sam Payne delves into the geometry, topology, and arithmetic of moduli spaces of smooth and stable curves. Gain insights into counting isomorphism classes of curves of genus g over finite field Fq and understanding the multiplicities of (SnxGal(Q))-representations in the cohomology of moduli spaces. Learn about the latest developments in this specialized field of mathematics through a comprehensive survey of recent results presented at the Institute for Advanced Study's Simonyi Hall.