Breuil's conjecture on strongly divisible lattices in the r = p – 1 unipotent case

Hui Gao, Purdue University

Abstract

Let p be a prime. We prove that there is an anti-equivalence between the category of unipotent strongly divisible lattices of weight p – 1 and the category of Galois stable [special characters omitted]-lattices in unipotent semi-stable representations with Hodge-Tate weights ⊆ {0, . . ., p – 1}. This completes the last remaining piece of Breuil's conjecture (Conjecture 2.2.6 in [6]).

Degree

Ph.D.

Advisors

Liu, Purdue University.

Subject Area

Applied Mathematics|Mathematics

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