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University of Cambridge > Talks.cam > Junior Algebra and Number Theory seminar > Local-global conjectures in modular representation theory.

## Local-global conjectures in modular representation theory.Add to your list(s) Download to your calendar using vCal - Stefano Sannella, University of Birmingham
- Friday 26 January 2018, 15:00-16:00
- CMS, MR14.
If you have a question about this talk, please contact Nicolas Dupré. The representation theory of a finite group G over a field F of positive characteristic carries many questions that have not been answered yet. Most of them can be stated as global/local conjectures: in various forms, they state that the representation theory of G is somehow controlled by its p-local subgroups. Here we will mostly focus on one of these conjectures, Broué’s Abelian Defect Group Conjecture, which might be considered as an attempt to give a structural explanation of what is actually connecting G and its local p-subgroups in the abelian defect case. In particular, we explain how the strategy of looking for a perverse equivalence (a specific type of derived equivalence) works successfully in some cases and how this procedure is related to some Deligne-Lusztig varieties. This talk is part of the Junior Algebra and Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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