Endomorphisms of Gelfand-Graev representations

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• Jack Shotton (Durham University)
• Tuesday 07 November 2023, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Hanneke Wiersema.

The Gelfand-Graev representation is an important representation of a finite group G of Lie type that contains each ‘generic’ representation with multiplicity one. Its endomorphism ring E is therefore commutative. Inside E there is a lattice of integral endomorphisms (after inverting the defining characteristic of G). I will report on work of Tzu-Jan Li, and Li and myself, determining this lattice, and explain how it may be related to the moduli space of tamely ramified representations of a local field.

This talk is part of the Number Theory Seminar series.

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