# Positive traces on deformations of Kleinian singularities

### APA

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

### MLA

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

### BibTex

@misc{ pirsa_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}, year = {2024}, month = {jan}, note = {PIRSA:24010079 see, \url{https://pirsa.org}} }

Daniil Kliuev Massachusetts Institute of Technology (MIT)

## 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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