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Abstract:
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.
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