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Enumerative Problems Related to Moduli Spaces of Curves and Graphs - Sam Payne

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Workshop on Combinatorics of Enumerative Geometry 10:00am|Simonyi Hall 101 Topic: Enumerative Problems Related to Moduli Spaces of Curves and Graphs Speaker: Sam Payne Affiliation: Institute for Advanced Study Date: February 3, 2025 I will survey new results on several enumerative problems related to the geometry, topology, and arithmetic of moduli spaces of smooth and stable curves. The enumerative problems include counting isomorphism classes of curves of genus g over a finite field Fq, and counting multiplicities of (SnxGal(Q))-representations in the cohomology of moduli spaces of smooth and stable curves.

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