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Explore the structure of equivariant derived categories in this 53-minute conference talk by Daniel Halpern-Leistner at ICBS2024. Delve into the world of algebraic varieties with reductive group actions and discover how the derived category of G-equivariant coherent sheaves encodes crucial information about equivariant algebraic geometry. Examine general structure theorems that connect the equivariant derived category to the derived category of geometric invariant theory (GIT) quotients. Investigate applications of these concepts, including the relationships between derived categories of different GIT quotients and the identification of hidden symmetries within derived categories.
