## Video URL

https://pirsa.org/24010079# Positive traces on deformations of Kleinian singularities

### APA

Kliuev, D. (2024). Positive traces on deformations of Kleinian singularities. Perimeter Institute for Theoretical Physics. https://pirsa.org/24010079

### MLA

Kliuev, Daniil. Positive traces on deformations of Kleinian singularities. Perimeter Institute for Theoretical Physics, Jan. 16, 2024, https://pirsa.org/24010079

### BibTex

@misc{ scivideos_PIRSA:24010079, doi = {10.48660/24010079}, url = {https://pirsa.org/24010079}, author = {Kliuev, Daniil}, keywords = {Mathematical physics}, language = {en}, title = {Positive traces on deformations of Kleinian singularities}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2024}, month = {jan}, note = {PIRSA:24010079 see, \url{https://scivideos.org/pirsa/24010079}} }

Daniil Kliuev Massachusetts Institute of Technology (MIT)

**Source Repository**PIRSA

**Collection**

**Talk Type**Scientific Series

**Subject**

## Abstract

For a noncommutative algebra $A$ and an antilinear automorphism $\rho$ of $A$ there is a notion of positive trace. On the physics side, positive traces are related to quantizations of superconformal field theories. On the mathematical side, positive traces are connected to spherical unitary representations of complex Lie groups. We will discuss the classification of positive traces in the case when the algebra $A$ is a deformation or a $q$-deformation of a Kleinian singularity of type A.

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