I will present some results from a work in progress joint with Thorsten Heidersdorf on the Deligne categories for the family of groups GLn(𝔽q), for non-negative integers n. The Deligne categories interpolate the tensor categories of complex representations of GLn(𝔽q), and have been previously constructed by F. Knop and E. Meir (for certain values of n). I will describe some properties of these categories as well as their relation to the category of algebraic representations of the infinite group GL∞(𝔽q).
This video is part of the New Directions in Group Theory and Triangulated Categories seminar series.
