Symplectic representation theory / Théorie symplectique des représentations

Collection Symplectic representation theory / Théorie symplectique des représentations

Organizer(s) Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng

Date(s) 01/04/2019 - 05/04/2019

linked URL https://conferences.cirm-math.fr/1956.html

00:00:00 / 00:00:00

10 19

Fusion rings from quantum groups and DAHA actions

By Catharina Stroppel

Also appears in collection : Exposés de recherche

In this talk I will give a short overview about fusion rings arising from quantum groups at odd and even roots of unities. These are Grothendieck rings of certain semisimple tensor categories. Then I will study these rings in more detail. The main focus of the talk will be an expectation by Cherednik that there is a certain DAHA action on these rings which can be used to describe the multiplication and semisimplicity of these rings. As a result we present a theorem which makes Cherednik's expectation rigorous.

Information about the video

Date of recording 02/04/2019
Date of publication 19/04/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19511803
Cite this video Stroppel, Catharina (02/04/2019). Fusion rings from quantum groups and DAHA actions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19511803
URL https://dx.doi.org/10.24350/CIRM.V.19511803

Domain(s)

Bibliography

Andersen, H.H., & Stroppel, C. (2014). Fusion rings for quantum groups. Algebras and Representation Theory, 17(6), 1869-1888 - https://doi.org/10.1007/s10468-014-9479-6

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