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Deformation Theory Seminar

Friday, September 26, 2014 - 2:00pm

Raj Mehta

Smith College

Location

University of Pennsylvania

DRL 4C4

Note our new room 4C4

There are a number of parallels between the notions of Jacobi bracket and Poisson bracket. Some of them have precise formulations (for example, the "Poissonization" process taking Jacobi structures to Poisson structures), and others are informal analogies (for example, the idea that a Poisson (Jacobi) structure is the contravariant generalization of a symplectic (contact) structure). In this talk, I will describe a differential graded perspective on Jacobi structures. This perspective helps to give precise meaning to some of the analogies as well as a holistic explanation for why so many parallels exist.