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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 208: Seminar in Algebraic Geometry
Dr. Hannah Larson
UC Berkeley
Moduli spaces of curves with polynomial point count
Abstract:
How many isomorphism classes of genus g curves are there over a finite field $\mathbb{F}_q$? In joint work with Samir Canning, Sam Payne, and Thomas Willwacher, we prove that the answer is a polynomial in q if and only if g is at most 8. One of the key ingredients is our recent progress on understanding low-degree odd cohomology of moduli spaces of stable curves with marked points.
Host: Dragos Oprea
May 16, 2025
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
