# Nikolaus Conference 2018

Speaker: Reda Chaneb (Paris)

Title: Counting Unipotent Brauer Characters in Finite Reductive Groups

Abstract:

Let $$q$$ be the power of an odd prime number, $$G$$ a finite reductive group defined over $$\mathbb{F}_q$$. Inspired by the Lusztig's classification of unipotent characters, we propose a method to count irreducible brauer characters of $$G$$ lying in unipotent blocks. Then, we verify that our method is effective for $$SL_n(q), SU_n(q)$$, simple classical groups and simple adjoint exceptional groups.