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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