Algebraic Geometry Seminar
Nolan Schock
UIC
Tropical approaches to compactifications of moduli of del Pezzo surfaces
Abstract: I will discuss approaches to understanding interesting (e.g. stable pair) compactifications of moduli of del Pezzo surfaces using tropical geometry and combinatorics of the root system $E_n$. Such an approach was first considered by Hacking, Keel, and Tevelev, dating back to works of Naruki and Sekiguchi; however, new ideas may lead to a more complete understanding of these compactifications. Similar approaches for other root systems may yield other interesting compactifications of moduli spaces.
Monday September 12, 2022 at 3:00 PM in 636 SEO