13 avril 2021

Spela Spenko (Université libre de Bruxelles)
Perverse schobers in geometric invariant theory

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Lieu : Séminaire en ligne

Résumé : Perverse schobers are categorifications of perverse sheaves. We will discuss some occurrences of perverse schobers in geometric invariant theory. We will focus on a certain class of GIT quotient stacks and describe how perverse schobers extend the action of the fundamental groupoid of the stringy Kähler moduli space (SKMS) on the derived category (constructed by Halpern-Leistner and Sam). In the case of toric varieties this will lead us to the celebrated GKZ system of differential equations. This is joint work with Michel Van den Bergh.

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