Abstract 

We will construct semiorthogonal decompositions of moduli of vector bundles on a curve C into the symmetric powers of C. As essential ingredients in the proof, we will develop Borel-Weil-Bott theory for loop groups on twisted moduli spaces and derived Schur-Weyl duality for current groups. We will also discuss the relation with supersymmetric gauge theory.

About the speaker 

Kai Xu

Harvard University

Kai Xu obtained his Ph.D. in mathematics in 2023 from Harvard. He is interested in geometric structures in quantum field theory and string theory.