Moduli of vector bundles on curve and semiorthogonal decomposition

09/29/2023 12:00 pm - 1:00 pm
Damian van de Heisteeg Samy Jelassi
CMSA Room G10
Address: CMSA, 20 Garden Street, Cambridge, MA 02138 USA

Member Seminar

Speaker: Kai Xu (CMSA)

Title: Moduli of vector bundles on curve and semiorthogonal decomposition

Abstract: In this talk we construct semiorthogonal decompositions of moduli of vector bundles on a curve into its symmetric powers. The essential ingredients in the proof include Borel-Weil-Bott theory for loop groups, derived Schur-Weyl duality for current groups and derived Θ-stratification.