Decomposition along a non-linear flag

by Gabriele Vezzosi (Università di Firenze)

Wednesday 27 Nov 2019, 16:30 → 17:30 Europe/Rome

Aula Magna (Dipartimento di Matematica)

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.