Endotrivial modules, local group theory, and homotopy theory

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• Jesper Grodal Copenhagen
• Wednesday 07 November 2018, 15:00-16:00
• Watson Building, Lecture Room A.

If you have a question about this talk, please contact Chris Parker.

For G a finite group and k a field of characteristic p, an endotrivial module is a kG-module M such that End(M) is isomorphic to a trivial module plus a projective module. Equivalence classes of such modules form an abelian group under tensor product. It has has long been a quest to calculate this abelian group, for any finite group G, starting with work of Dade in the 70s. In my talk I’ll explain how this question via homotopy theory reduces to the calculation of a certain finite p’-group, describable in terms of the p-local structure of G. The talk will then explain a number of examples where this can be calculated, such as for the Monster.

This talk is part of the Algebra seminar series.

This talk is included in these lists:

• Algebra seminar
• School of Mathematics events
• Watson Building, Lecture Room A

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