Local p-indecomposability of modular p-adic Galois representations.
by
Prof.Haruzo Hida(University of California at Los Angeles)
→
Asia/Kolkata
AG-77
AG-77
Description
Abstract: A conjecture by R. Greenberg asserts that a modular
2-dimensional $p$-adic Galois representation of a cusp form of weight
larger than or equal to 2 is indecomposable over the $p$-inertia group
unless it is induced from an imaginary quadratic field. I start with a
survey of the known results and try to reach a brief description of new
cases of indecomposability.