*Friday 27th March*–

*Friday 27th March 2020*

27th March 2020

University of Bristol

We are delighted to welcome Gunter Malle to the University of Bristol to deliver a Heilbronn Colloquium.

Gunter Malle (Kaiserslautern) is a highly distinguished mathematician working in the areas of group theory, representation theory of finite groups, and connections to number theory. He has made significant contributions to the Brauer height-zero conjecture, the Algerian conjecture and the McKay conjecture. In number theory, he has made important contributions to our understanding of the distributions of class groups and of Galois groups.

**Title: **Local- global conjectures in representation theory

**Abstract:** The McKay conjecture from 1972 predicts that the number of odd

degree complex irreducible character of a finite group equals the same

quantity for the normaliser of a Sylow $2$-subgroup. This has become the

prototype of a whole series of similar local-global conjectures relating

properties of the representation theory of a finite group $G$ to data

encoded in $p$-local subgroups.

Recently, many of these conjectures have been reduced to (difficult)

questions on finite simple groups, thus opening the way to an

application of the classification. We will review some of these

conjectures and report on recent progress in the area.

The colloquium will take place in Lecture theatre 2.41, Fry Building at 16:00- 17:00 on Friday 27th March, followed by a wine reception in the Fry Common room. To help us plan catering, please complete this **short registration form** if you are planning to attend.

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