Geometry/Physics Seminar

Title: Modular symmetry of Poisson manifolds and the Van den Bergh duality
Speaker: Professor Vasily Dolgushev
Speaker Info:
Brief Description:
Special Note:

To a Poisson manifold one can assign the so-called modular class which is an intrinsic element in the space of Poisson vector fields modulo Hamiltonian vector fields. This class was independently introduced and studied by J.-L. Brylinski, A. Weinstein and G. Zuckerman. In my talk I would like to show that the quantum incarnation of the modular class is related to the Van den Bergh duality between Hochschild cohomology and Hochschild homology of the corresponding deformation quantization algebra. This is a work in progress so I will propose a conjecture and give supporting evidence. My talk is also a way to say "good bye" to Northwestern until the Winter Term.
Date: Thursday, September 21, 2006
Time: 4:00pm
Where: Lunt 107
Contact Person: Kevin Costello
Contact email: costello@math.northwestern.edu
Contact Phone: 773 910 8788
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