Atoms Meet Symbols in G-Equivariant Birational Geometry

Watch a 55-minute mathematics lecture exploring the intersection of atomic theory and symbolic representation in algebraic geometry. Delve into an extension of the "Theory of Atoms" developed by Katzarkov-Kontsevich-Pantev-Yu, and discover how it integrates with Tschinkel-Kontsevich's "symbols" from 2019 in G-equivariant birational geometry. Learn how this combination yields a novel Z-module that captures G-equivariant birational geometric information, leading to the derivation of Z-values G-equivariant birational invariants. The presentation covers collaborative research work conducted with L. Grama, L. Katzarkov, and M. Kontsevich.