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 - המחלקה למתמטיקה 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.

תאריך עדכון אחרון : 21/03/2016