Decomposition along a non-linear flag – Gabriele Vezzosi (Università di Firenze)

Venue

Dipartimento di Matematica, Aula Magna.

Abstract

We define a non-commutative version of the punctured formal neighborhood in algebraic geometry, and apply this construction to give decompositions of the (derived) stacks ${\mathbf{Coh}}^{-}(X)$, $\mathbf{Perf}(X)$, and ${\mathbf{Bun}}_G(X)$ along a non-linear flag of sub-stacks of X. This is joint work with B. Hennion and M. Porta. Time permitting, I will also sketch an application to the construction of Hecke operators associated to a non-linear flag on a surface.

Further information is available on the event page on the Indico platform.