Topic: CMI Mathematics Seminar
Date: Tuesday, June 22, 2021.
Time: 6:00 PM.
Derived categories and motives of moduli spaces of vector bundles on curves
University of Miami, USA.
Derived categories and motives are important invariants of algebraic varieties invented by Grothendieck and his collaborators around the 1960s. In 2005, Orlov conjectured that they will be closely related and now there are several evidences supporting his conjecture. On the other hand, moduli spaces of vector bundles on curves provide attractive and important examples of algebraic varieties and there have been intensive works studying them. In this talk, I will discuss derived categories and motives of moduli spaces of vector bundles on curves. This talk is based on several joint works with I. Biswas, T. Gomez, H.-B. Moon and M. S. Narasimhan.