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)

Talk number
PIRSA:24010079
Collection
Talk Type
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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