Symmetric tensor categories II
Pavel Etingof (MIT)
Abstract: Lecture 2: Representation theory in non-integral rank.
Examples of symmetric tensor categories over complex numbers which are not representation categories of supergroups were given by Deligne-Milne in 1981. These very interesting categories are interpolations of representation categories of classical groups GL(n) , O(n) , Sp(n) to arbitrary complex values of n . Deligne later generalized them to symmetric groups and also to characteristic p , where, somewhat unexpectedly, one needs to interpolate n to p -adic integer values rather than elements of the ground field. I will review some of the recent results on these categories and discuss algebra and representation theory in them.
Mathematics
Audience: researchers in the discipline
Series comments: The Workshop and International Conference on Representations of Algebras (ICRA) will take place online between 9th November and 25th November 2020.
Visit our website to register and for further information: www.icra2020.info
Deadline for submitting research snapshots: November 1st, 2020
| Organizers: | Lidia Angeleri Hügel, Aslak Bakke Buan, Gustavo Jasso*, Henning Krause, Rosanna Laking, Øyvind Solberg |
| *contact for this listing |