Galois distinguished l-modular representation of p-adic GL(n) – Robert Kurinczuk
Robert Kurinczuk
Imperial College London
https://sites.google.com/site/robkurinczuk/home
Date(s) : 19/03/2020 iCal
14h00 - 15h00
I will present some peculiarities in the theory of Galois distinguished l-modular representations of p-adic GL(n), that is on l-modular representations with a linear form invariant by the fixed points subgroup of a Galois involution. This theory displays sharp contrasts to the well-established case for complex representations. In particular, (1) dichotomy fails: there are sigma-self-dual cuspidal l-modular representations which are not distinguished (2) distinction of cuspidal representations is no longer characterised by the associated Asai L-factor having a pole at 1 (3) certain naturally defined local periods may vanish. This is joint work with Nadir Matringe and Vincent Secherre.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
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