Moduli spaces of curves with polynomial point count (AG seminar)

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.

number theory

Audience: researchers in the topic

Comments: pre-talk at 3:30pm

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.