Algebraic and Arithmetic Geometry Seminar

The Poisson structure on the affine Grassmannian via derived algebraic geometry

Name: The Poisson structure on the affine Grassmannian via derived algebraic geometry
Start: 2021-11-10T15:00:00+01:00
End: 2021-11-10T16:00:00+01:00
Location: Dipartimento di Matematica

by Valerio Melani (Università di Pisa)

Wednesday 10 Nov 2021, 15:00 → 16:00 Europe/Rome

Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica

Description

Motivated by a conjecture of Kapranov-Ginzburg-Vasserot, we will explain how to reinterpret the classical Poisson structure on the affine Grassmannian using tools from derived symplectic (and Poisson) geometry. Our approach is based on the study of symplectic structures on derived stacks whose cotangent complex is not perfect, and therefore uses in a crucial way the formalism of Tate modules. The talk is based on joint work with Mauro Porta and Pavel Safronov.