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G-spectra of cyclic defect

G-spectra of cyclic defect

Event Category:

Representation Theory

Speaker:
David Treumann

Institution:
Boston College

Webpage:
Broue's conjecture predicts that a block of **Z**_{p}[G] and of **Z**_{p}[N] have equivalent derived categories, when N is the normalizer of the defect group of the block and this defect group is commutative. In case the defect group is cyclic, there are two old proofs of it, one by Rickard and a while later one by Rouquier. Tony Feng, Allen Yuan and I can construct a similar equivalence between blocks of p-complete G-spectra and p-complete N-spectra, that induces Rouquier's equivalence after taking homology.

Monday, May 1, 2023 - 2:30pm

LGRT 1334

## Department of Mathematics and Statistics