Number Theory Seminar
Tuesday 6 February 2007, MR13, 2:30pm
The weights in a Serretype Conjecture for tame ndimensional mod p Galois representations
Florian Herzig
(IHES)
Abstract:
I will discuss a Serretype conjecture on the weights for ndimensional
mod p Galois representations rho of the absolute Galois group of Q that
are tamely ramified at p. A weight in this context is an irreducible mod p
representation of GL_n(F_p). The conjecture predicts the weights of rho in
terms of the reduction mod p of a characteristic 0 representation of
GL_n(F_p) associated to the restriction of rho to the inertia subgroup at
p. It refines, and is more conceptual than, a previous conjecture of Ash,
Doud, Pollack, and Sinnott.



