Reformulating the Weight Conjecture
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Wed, 01/12/2010 11:30 |
Jason Semeraro (University of Oxford) |
Algebra Kinderseminar  |
ChCh, Tom Gate, Room 2 |
| 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. | |||