On RoCK blocks

Michael Livesey (Manchester)

Frank Adams 1,

I will give a survey talk of RoCK blocks highlighting my own contributions.

RoCK blocks were an important tool in proving Brou\'{e}'s abelian defect group conjecture for symmetric groups that was proved in two papers (Chuang-Kessar, Chuang- Rouquier). Turner then generalised this to finite general linear groups. I will talk about my own work on RoCK blocks for other finite classical groups and the hope that RoCK blocks also exist for double covers of symmetric groups.

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