Exceptional Riemann-Roch Theorems for Toric Varieties

Explore an advanced mathematics lecture from the Workshop on Combinatorics of Enumerative Geometry where Carnegie Mellon University's Chris Eur delves into exceptional cases of the Hirzebruch-Riemann-Roch theorem for smooth projective varieties. Learn about the integral isomorphism between Chow rings and Grothendieck K-rings of vector bundles over rational coefficients, specifically in the context of toric varieties. Discover how these exceptional cases differ from classical HRR and their applications in combinatorial mathematics. Gain insights from collaborative research conducted with Andrew Berget, Alex Fink, June Huh, Hunter Spink, and Dennis Tseng during this hour-long presentation at the Institute for Advanced Study's Simonyi Hall.