Seminar series
Date
Wed, 01 Dec 2010
Time
11:30 -
12:30
Location
ChCh, Tom Gate, Room 2
Speaker
Jason Semeraro
Organisation
University of Oxford
Given a block, b, of a finite group, Alperin's weight conjecture predicts a miraculous equality between the number of isomorphism classes of simple b-modules and the number of G-orbits of b-weights. Radha Kessar showed that the latter can be written in terms of the fusion system of the block and Markus Linckelmann has computed it as an Euler characteristic of a certain space (provided certain conditions hold). We discuss these reformulations and give some examples.