Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Coisotropic structures in derived algebraic geometry

Valerio Melani

created by daniele on 19 Sep 2016

5 oct 2016 -- 14:00

Aula Tricerri, DiMaI "Dini", Firenze

Abstract.

The purpose of this talk is to present the notion of coisotropic morphism in the framework on derived algebraic geometry. We start by some quick reminders on derived algebraic geometry, and we explain how to interpret the classical definitions of coisotropic structures in this context. This involves a slight generalization of the Swiss-Cheese operad of Voronov. We present recent existence results for coisotropic structures, and in the last part of the talk we mention some of the applications to deformation quantization of moduli spaces that arise naturally in geometry and in topology, such as Nakajima varieties and the augmentation variety of knot contact homology.

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