PIRSA:24010079

Positive traces on deformations of Kleinian singularities

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

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

          @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)

DOI 10.48660/24010079
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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