**Categorical sl2 actions and RoCK blocks,**at

**Sydney, Australia**, Wednesday, February 15, 2023:

It's a well-known theorem of Scopes that if we consider the blocks of FpSm for all m geq 0 with a fixed defect group, they will break into a finite number of Morita equivalence classes. In fact, it was later shown by Chuang and Rouquier that all blocks with a fixed defect group are derived equivalent; from this perspective, one can think of Scopes' theorem as the observation that “most” of Chuang and Rouquier's derived equivalences are induced by Morita equivalences (i.e. are t-exact). I'll discuss how one can...

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