The Poisson structure on the affine Grassmannian via derived algebraic geometry – Valerio Melani (Università di Pisa)

Venue

Dipartimento di Matematica, Aula Magna.

Abstract

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.

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

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