1050 - 1130, December 29, 2017 (Friday)
R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Potentially Crystalline Deformation Rings for Ordinary Galois Representations
Chol Park (
Korea Institute for Advanced Study
)
Abstract
Abstract: Let \rightarrow\mathrm{GL}_n(\overline{\mathbf{F}}_p)$&chf=bg,s,333333&chco=ffffff) be an upper-triangular Galois representation satisfying certain genericity assumptions. We discuss a way to prove a local deformation ring parameterizing potentially crystalline lifts of  with certain fixed Hodge--Tate weights and Galois type is formally smooth. This is a joint work with Suh Hyun Choi and Zicheng Qian.
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