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Explore a 49-minute lecture that combines the "Theory of Atoms" by Katzarkov-Kontsevich-Pantev-Yu with Tschinkel-Kontsevich's "symbols" in G-equivariant birational geometry. Learn how these concepts merge to create a new Z-module that captures G-equivariant birational geometric information, leading to the derivation of Z-values G-equivariant birational invariants. Presented in collaboration with L. Grama, L. Katzarkov, and M. Kontsevich, delve into advanced mathematical concepts at the intersection of atomic theory and symbolic representation in geometric theory.
