Algebraic Geometry Seminar

Desmond Coles
University of Texas Austin
Balancing for spherical tropical varieties
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.
Monday February 24, 2025 at 3:00 PM in 636 SEO
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