Colloquium abstracts

Swarnava Mukhopadhyay
TIFR, Mumbai
February 7, 2019

Derived category of moduli of vector bundles on curves:  The bounded category of a smooth variety is an important invariant that has applications to various areas of mathematics. Decomposing a derived category into simpler triangulated sub categories is a fundamental question. Fano varieties always admits a non trivial semiorthogonal decomposition. A natural class of Fano varieties come from the moduli space of vector bundles of on a curve with fixed determinant and coprime degree. In this talk, we will discuss natural subcategories of the derived category of these moduli spaces and give a conjectural semiorthogonal decomposition in rank 2 and provide evidence towards the conjecture. This is a joint work with Pieter Belmans and Sergey Galkin.