# Nikolaus Conference 2018

Speaker: Ruwen Hollenbach (Kaiserslautern)

Title: Quasi-Isolated Blocks of Finite Groups of Lie Type

Abstract:

In a recent paper G. Malle and G. Robinson proposed a modular analogue to the $$k(B)$$-conjecture. If $$B$$ is a $$p$$-block with defect group $$D$$, then they conjecture that $$l(B) \leq p^r$$, where $$r$$ is the sectional $$p$$-rank of $$D$$. We discuss recent progress on this conjecture for finite groups of Lie type.