Contents/conteúdo

Topological Quantum Field Theory Seminar   RSS

Marco Mackaay 06/11/2020, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttp://tecnico.ulisboa.pt
, University of Algarve

The double-centralizer theorem in 2-representation theory and its applications

Finitary birepresentation theory of finitary bicategories is a categorical analog of finite-dimensional representation theory of finite-dimensional algebras. The role of the simples is played by the so-called simple transitive birepresentations and the classification of the latter, for any given finitary bicategory, is a fundamental problem in finitary birepresentation theory (the classification problem).

After briefly reviewing the basics of birepresentation theory, I will explain an analog of the double centralizer theorem for finitary bicategories, which was inspired by Etingof and Ostrik's double centralizer theorem for tensor categories. As an application, I will show how it can be used to (almost completely) solve the classification problem for Soergel bimodules in any finite Coxeter type.

Projecto FCT UIDB/04459/2020.


To join the session on Zoom a password is required. If you are not already on the mailing list, please subscribe the announcements to receive password info and updates.

Current organizers: José MourãoRoger Picken, Marko Stošić

Mathseminars

FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.

CAMGSD FCT