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Local indecomposability of modular Galois representation

Hold Date 2019-11-15 16:00~2019-11-15 17:00

Place Lecture Room M W1-C-513, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Haruzo HIDA ( University of California, Los Angeles)

A famous 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. I start with a survey of the known results and then describe a new case of indecomposability when the modular Galois representation is a deformation of an induced representation.