IPMU Colloquium (Math-String Colloquium)

Speaker: Alan Weinstein (Berkeley)
Title: Linear canonical relations and their quantization
Date (JST): Wed, Nov 06, 2013, 15:30 - 17:00
Place: Lecture Hall
Abstract: A useful approach to the problem of passing from classical to quantum mechanics in a coherent way is to find a functorial quantization of linear canonical relations between symplectic vector spaces.
A standard quantization of such relations leads to unbounded operators which cannot always be composed, reflecting some deviation from transversality in the composition of the relations themselves.

In this talk, I will describe possible mathematical settings on the classical and quantum sides, give examples, and describe some attempts to resolve the problems associated with "bad compositions".
Seminar Video: [VIDEO]