Local indecomposability and universal ordinary deformation rings
June 18, 2019 16:00-17:00
W303 School of Mathematics
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