Conference "Arithmetic, Geometry and Coding Theory"
March 14 - 18, 2011
CIRM, Marseille, France
Organisers: Yves Aubry (Université de la Méditerranée, IML), Christophe Ritzenthaler (Université de la Méditerranée, IML), Alexey Zykin (Mathematical Department of HSE, Laboratoire Poncelet, IITP)
The talk is based on joint work with Imin Chen and Ian Kiming. I will discuss different notions of modularity for Galois representations modulo prime powers, relations between them and illustrate them by some examples.