School of Mathematics Seminars and Lectures

Local p-indecomposability of modular p-adic Galois representations.

by Prof. Haruzo Hida (University of California at Los Angeles)

Friday, November 25, 2022 from to (Asia/Kolkata)
at AG-77
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.