Hodge Structures and Quantum Toric Geometry

Explore the fascinating world of Quantum Toric Geometry in this colloquium-level talk by Ernesto Lupercio from CINVESTAV. Delve into a generalization of toric geometry for non-commutative spaces and discover how it enhances our understanding of Hodge Theory extensions. Learn about groundbreaking research conducted in collaboration with L. Katzarkov, K.S. Lee, L. Meerssemann, and A. Verjovsky. Gain insights into this complex mathematical topic through a comprehensive one-hour presentation that bridges the gap between classical toric geometry and its quantum counterpart.