Local indecomposability and universal ordinary deformation rings

[Math. Dept.]

June 18, 2019  16:00-17:00

W303  School of Mathematics

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Haruzo Hida (University of California, Los Angeles)


Let p > 3 be a prime. It is a conjecture of Greenberg that the restriction of the p-adic Modular Galois representation r of a cusp form to the the p-inertia subgroup is indecomposable if it is neither an Artin representation nor induced from a quadratic field. We solve this question if r modulo p is an induced representation from a real quadratic field F. I’ll give a quick review to the fundamental theory from the very beginning.


Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University