**BILKENT **

**ALGEBRA SEMINAR**

**"Simple Functors of Admissible Linear Categories"**

By

# LAURENCE BARKER

# (Bilkent University)

** **

**Abstract: **This
is joint work with Robert Boltje and Merve Demirel. A linear category
is a category such that the sets of morphisms are modules
and the composition is bilinear. We shall be concerned with cases where the isomorphism
classes are partially ordered and all morphisms are
linear combinations of morphisms which factor
downwards and then upwards. In these cases, we shall classify the simple
functors from the given category to the category of modules of the coefficient ring.
We shall specialize this to scenarios where the objects are finite groups and
the morphisms are associated with linear maps such as
inductions, restrictions, inflations.

**Date: ****Monday, February 9, 2015**

**Time: ****10.40-11.30**

**Place: ****Mathematics Seminar Room,
SA-141**

** **

**All are most cordially invited.**

Tea and biscuits: before the seminar