Nolan Schock : Tropical approaches to compactifications of moduli of del Pezzo surfaces

Posted by Nolan Schock , part of the Algebraic Geometry Seminar.

At

Sept. 12, 2022, 3 p.m.

In

636 SEO

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.