Symmetries and quantization in symplectic microgeometry
Speaker: Benoit Dherin, UC Berkeley
Abstract: The main objects in symplectic microgeometry are (certain germs of) lagrangian relations between (certain germs of) symplectic spaces. Many geometric data (such as Poisson structures and Poisson maps) can be understood in terms of algebraic identities between these lagrangian relations. In this talk, we will explain how the classical notion of symmetry can be expressed and extended using microgeometry and how to obtain a quantum version of these symmetries using Fourier integral operators associated with the lagrangian relations. This talk should be accessible to a large audience and touches upon works in progress with Alberto Cattaneo, Alan Weinstein, Igor Mencattini, and Friedrich Wagemann.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm