The weight-0 compactly supported Euler characteristic of moduli spaces of marked hyperelliptic curves

Series
Algebra Seminar
Time
Monday, April 13, 2026 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Maddie Brandt – Vanderbilt University – https://sites.google.com/view/madelinebrandt
Organizer
Donggyu Kim

Please Note: There will be a pre-seminar.

Deligne connects the weight-zero compactly supported cohomology of a complex variety to the combinatorics of its compactifications. In this talk, we use this to study the moduli space of n-marked hyperelliptic curves. We use moduli spaces of G-admissible covers and tropical geometry to give a sum-over-graphs formula for its weight-0 compactly supported Euler characteristic, as a virtual representation of S_n. This is joint work with Melody Chan and Siddarth Kannan.