English

$G$-spectra of cyclic defect

Representation Theory 2023-01-10 v1 Algebraic Topology

Abstract

Brou\'{e}'s Abelian Defect Conjecture predicts interesting derived equivalences between derived categories of modular representations of finite groups. We investigate a generalization of Brou\'{e}'s Conjecture to ring spectrum coefficients and prove this generalization in the cyclic defect case, following an argument of Rouquier.

Keywords

Cite

@article{arxiv.2301.03184,
  title  = {$G$-spectra of cyclic defect},
  author = {Tony Feng and David Treumann and Allen Yuan},
  journal= {arXiv preprint arXiv:2301.03184},
  year   = {2023}
}

Comments

34 pages, comments welcome!

R2 v1 2026-06-28T08:07:07.236Z