Chow Quotients of Toric and Schubert Varieties by C*-actions

Explore an advanced mathematics lecture examining Chow quotients of projective varieties by affine torus actions and their role in constructing geometric objects, delivered at the Workshop on Combinatorics of Enumerative Geometry. Delve into how the moduli space of stable genus 0 curves with n marked points emerges from the Chow quotient of the Grassmannian Gr(2,n), and understand the relationship between wonderful models of hyperplane arrangements and matroid Schubert varieties. Learn about the groundbreaking work of Kapranov, Sturmfels, and Zelevinsky on toric varieties, and discover new findings on local geometry of Chow quotients and rational smoothness criteria for Schubert varieties under ℂ∗-actions, presented through collaborative research with Mateusz Michalek and Leonid Monin.