qsms.math.snu.ac.kr - [QSMS Seminar 2022-08-24] Vector bundles and representation theory on a curve

Extra Form
일정시작	2022-08-24
일정종료	2022-08-24
배경색상	#77CC00

일정시작

2022-08-24

일정종료

2022-08-24

배경색상

#77CC00

Date : 2022-08-24 (Wed) 10:00 AM
Place : 129-406 (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 Borel-Weil 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 Borel-Weil-Bott-Teleman 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 Kyoung-Seog Lee.

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