Low degree Hurwitz stacks in the Grothendieck ring
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date
Thursday, June 9, 2022 16:00 - 17:00
Speaker
Aaron Landesman (Harvard University)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact
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.