## Q-Math Seminar

## About the Q-Math Seminar

The Q-Math Seminar is a series of seminars regularly held at the Mathematics department of the Carlos III University and the ICMAT. The topics discussed usually in the seminar are related with mathematical aspects of quantum theory and include:

- Differential Geometry
- Functional Analysis
- Operator Theory
- Quantum Information Theory

## Upcoming seminars

### Fernando Lledó (UC3M & ICMAT)

#### Commutation relations and traces

##### Monday the 8th of March, 2021, 12:30, Online Seminar: https://eu.bbcollab.com/guest/6da3b2acc1ad40b4b9588ce14d4f5c0e

Canonical commutation relations are one of the fundamental tools to describe kinematics of quantum systems. These relations can be encoded to the C*-algebra framework in different ways. The Weyl algebra (due to Weyl and von Neumann) is generated by exponentials of the fields satisfying the relations or, more recently, the resolvent algebra (due to Buchholz and Grundling) which is generated by the resolvents of the fields. We will analyze these algebras in relation to the existence of certain kinds of traces and focusing on 'amenable' approximations by means of finite structures.