EVENT DETAILS AND ABSTRACT

Title: Oscillatory Modules
Speaker: Boris Tsygan
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

It was noticed long time ago that the Fukaya category of a symplectic manifold has some resemblance to the category of modules over a deformed algebra of functions on the manifold. In this talk we will define a category of modules with additional structure for which the analogy with the Fukaya category is somewhat closer. These modules, that we call oscilatory modules, are motivated both by the basics of noncommutative geometry and by the Hormander-Maslov theory of Lagrangian distributions. We will discuss the example of the two-torus.