Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Weinstein's "Poisson category" in derived geometry

Valerio Melani

created by daniele on 15 Nov 2021
modified on 06 Dec 2021

14 dec 2021 -- 14:30

Aula Tricerri, DIMaI, Firenze

Seminario di Geometria Differenziale e Analisi Complessa del Dipartimento di Matematica e Informatica "Ulisse Dini" dell'Università di Firenze


Motivated by deformation quantization, Weinstein initiated the study of the "Poisson category". This should be a category whose objects are Poisson manifolds, and whose morphisms are coisotropic correspondences. Unfortunately, in the general case there is no such category. In fact, composition of morphisms by fiber products is not always available, and one needs to put strong enough "clean intersection" hypothesis to make it possible. In this talk, we present a realization of the Poisson category in the context of derived (algebraic) geometry, which is a homotopical generalization of "classical" algebraic geometry. The talk will be based on joint work(s) with Rune Haugseng and Pavel Safronov.

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