Reductions of Galois representations for slopes in (1,2)

Bhattacharya, Shalini ; Ghate, Eknath (2015) Reductions of Galois representations for slopes in (1,2) Documenta Mathematica, 20 . pp. 943-987. ISSN 1431-0635

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We describe the semisimplifications of the mod p reductions of certain crystalline two-demensional local Galois representations of slopes in (1, 2) and all weights.The proof uses the compatibility between the p-aadic and mod p Local Langlands Correspondences for GL2 (QP). We also give a complete description of the submodules generated by the second highest monomial in the mod p symmetric power representations of GL2 (Fp).

Item Type:Article
Source:Copyright of this article belongs to The European Mathematical Information Service.
Keywords:Reductions of Galois Representations; Local Langlands Correspondence; Hecke Operators
ID Code:101751
Deposited On:09 Mar 2018 10:35
Last Modified:09 Mar 2018 10:35

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