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Seminar: Deformation Quantization On Symplectic Stacks And Applications To The Moduli of Flat Connections

Speaker: Patrick Erdelt, Frankfurt

2013.03.01 | Christine Dilling

Date Wed 29 Feb
Time 15:30 16:30
Location

Abstract

I will begin with recalling some basic facts about stacks. Particularly interesting are smooth stacks describing singular spaces. There is a close connection to other models like Lie groupoids and orbifolds. However regarding sheaves these models differ from stacks. I will talk about how to relate sheaves on a smooth stack to sheaves on its Lie groupoid atlas. This allows treating symplectic geometry in a nice way. As an application I will transport Fedosovs deformation qualtization and Delignes classification from smooth manifolds to smooth stacks. As an example I will quantize the moduli of flat connections with orbifold singularities.

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