Department of

February 2017 March 2017 April 2017 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 1 2 3 4 1 5 6 7 8 9 10 11 5 6 7 8 9 10 11 2 3 4 5 6 7 8 12 13 14 15 16 17 18 12 13 14 15 16 17 18 9 10 11 12 13 14 15 19 20 21 22 23 24 25 19 20 21 22 23 24 25 16 17 18 19 20 21 22 26 27 28 26 27 28 29 30 31 23 24 25 26 27 28 29 30

Wednesday, March 1, 2017

**Abstract:** We encounter quotient spaces everywhere in mathematics: circles, cohomology groups, moduli spaces. And sometimes physicists come up with interpretations of such spaces in terms of the symmetries of a given theory. In this talk I will explain how a 2 dimensional topological field theory, called the Poisson sigma model, produce interesting symplectic quotient spaces and its quantization produce deformations of Poisson brackets.