December 26, 2022

Deformations of p-adic Galois representations

Ariane Mézard, DMA, ENS Paris, France RIMS Kyoto, room 110 · JP:14:30 · FR:06:30

We present the numerical and geometric conjecture of modular multiplicities due to Breuil-M., Kisin and Emerton-Gee, and its influence on the p-adic Langlands program. The p-adic Hodge theory gives an explicit way to approach this conjecture and reveals new arithmetic phenomena. We derive from this explicit presentations of some potentially Barsotti–Tate deformation rings.

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