When
Where
Title: Toric degenerations of Poisson brackets and quantum algebras
Abstract: Poisson brackets provide a first-order approximation to quantum phenomena. I will discuss the idea of analyzing complicated Poisson brackets using their degenerations with a large amount of symmetries, known as toric degenerations. At the heart of this discussion lies a key unobstructedness result for the deformations of toric Poisson brackets, reminiscent of the Bogomolov-Tian-Todorov theorem for deformations of Calabi-Yau manifolds. I will explain how this approach can be generalized to the quantizations of Poisson brackets and its implications for mirror symmetry. This talk is based on various joint projects with B. Pym, T. Schedler, J.-H. Lu, J. Evans, and Y. Lekili.
Refreshments will be served in the Math Commons Room at 3:30pm