Desmond Coles : Balancing for spherical tropical varieties

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

Feb. 24, 2025, 3 p.m.

In

636 SEO

Abstract

The study of algebraic varieties by constructing an associated 'combinatorial shadow', has proven to be a valuable toolkit in many areas of algebraic geometry including the study of moduli spaces, enumerative geometry, and more. The starting point for constructing these 'shadows' has commonly been the tropicalization of toric varieties. In this talk I will explain how tropicalization of toric varieties can be extended to a larger class of varieties, spherical varieties. I will review the literature on this subject, and discuss some recent work of mine on a balancing condition for spherical tropical varieties.