# Deligne categories and the limit of categories Rep(GL(m|n))

Seminar

Speaker

Dr. Inna Entova Aizenbud (Hebrew University of Jerusalem)

Date

30/03/2016 - 11:30 - 10:30Add to Calendar

`2016-03-30 10:30:00``2016-03-30 11:30:00``Deligne categories and the limit of categories Rep(GL(m|n))``Deligne categories Rep(GL_t) (for a complex parameter t) have been constructed by Deligne and Milne in 1982 as a polynomial extrapolation of the categories of algebraic representations of the general linear groups GL_n(C). In this talk, we will show how to construct a "free abelian tensor category generated by one object of dimension t", which will be, in a sense, the smallest abelian tensor category which contains the respective Deligne's category Rep(GL_t). The construction is based on an interesting stabilization phenomenon occurring in categories of representations of supergroups GL(m|n) when t is an integer and m-n=t. This is based on a joint work with V. Seganova and V. Hinich.``Third floor seminar room``אוניברסיטת בר-אילן - Department of Mathematics``mathoffice@math.biu.ac.il``Asia/Jerusalem``public`Place

Third floor seminar room

Abstract

Deligne categories Rep(GL_t) (for a complex parameter t) have been constructed by Deligne and Milne in 1982 as a polynomial extrapolation of the categories of algebraic representations of the general linear groups GL_n(C).

In this talk, we will show how to construct a "free abelian tensor category generated by one object of dimension t", which will be, in a sense, the smallest abelian tensor category which contains the respective Deligne's category Rep(GL_t).

The construction is based on an interesting stabilization phenomenon occurring in categories of representations of supergroups GL(m|n) when t is an integer and m-n=t.

This is based on a joint work with V. Seganova and V. Hinich.

Last Updated Date : 21/03/2016