
Date : 20220824 (Wed) 10:00 AM

Place : 129406 (SNU)
 Speaker : 문한봄 (Fordham University)
 Title : Vector bundles and representation theory on a curve
 Abstract :
Many classical constructions in representation theory can be extended to vector bundles on algebraic curves. The classical BorelWeil theorem on the geometric description of irreducible representations of simple algebraic groups has been extended to this setting by Teleman. I will introduce algebraic vector bundles and BorelWeilBottTeleman theory. Then I will describe its consequences on the derived category of the moduli space of vector bundles on a curve and the Fano visitor problem of Jacobian varieties. This is ongoing joint work with KyoungSeog Lee.