Brauer Groups, Twisted Derived Categories, and Hodge Theory

Explore recent advancements in the classical period-index problem within Brauer group theory through this insightful 31-minute lecture. Delve into a diverse array of methodologies, including derived categories, Hodge theory, and enumerative geometry, as the speaker unravels complex mathematical concepts and their interconnections. Gain a deeper understanding of how these various approaches contribute to solving longstanding questions in algebraic geometry and number theory.