Date(s) - 19/03/2020
14 h 00 min - 15 h 00 min
Robert KURINCZUK (Imperial College London)
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.