Low degree Hurwitz stacks in the Grothendieck ring

Aaron Landesman (Harvard University)

09-Jun-2022, 14:00-15:00 (22 months ago)

Abstract: For $2 \leq d \leq 5$, we show that the class of the Hurwitz space of smooth degree $d$, genus $g$ covers of $\mathbb P^1$ stabilizes in the Grothendieck ring of stacks as $g \to \infty$. We will survey the connections between this result and related stabilizations occuring in algebraic geometry, number theory, and topology. This is based on joint work with Ravi Vakil and Melanie Matchett Wood.

algebraic geometrynumber theory

Audience: researchers in the topic


Algebraic Geometry and Number Theory seminar - ISTA

Organizers: Tamas Hausel*, Tim Browning*
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