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Fourier matrices for unipotent characters

Representations of Finite and Algebraic Groups April 09, 2018 - April 13, 2018

April 12, 2018 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Olivier Dudas (Université de Paris VII (Denis Diderot))
Location: MSRI: Simons Auditorium
  • Finite groups of Lie type

  • Unipotent characters

  • Deligne-Lusztig theory

  • Spetses

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



[This is a work in progress with Bonnafé-Broué-Malle-Michel-Rouquier.] In this talk I will explain how to construct a non-trivial action of SL2(Z) on the vector space spanned by unipotent characters. The existence of such an action follows from Lusztig's classification of unipotent characters, but I will present a global construction relying on traces of automorphisms of Deligne--Lusztig varieties. The advantage of this approach is that it can be naturally generalized to Spetses, thus giving candidates for Fourier matrices and unipotent character sheaves for Spetses.

31125?type=thumb Notes 1.29 MB application/pdf Download
Video/Audio Files


H.264 Video 14-Dudas.mp4 470 MB video/mp4 Download
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