On mod p non-abelian Lubin-Tate theory for GL_2(Q_p)
Number Theory
2015-08-19 v1 Algebraic Geometry
Abstract
We analyse the mod p \'etale cohomology of the Lubin-Tate tower both with compact support and without support. We prove that there are no supersingular representations in the H^1_c of the Lubin-Tate tower. On the other hand, we show that in H^1 of the Lubin-Tate tower appears the mod p local Langlands correspondence and the mod p local Jacquet-Langlands correspondence, which we define in the text. We discuss the local-global compatibility part of the Buzzard-Diamond-Jarvis conjecture which appears naturally in this context.
Keywords
Cite
@article{arxiv.1303.4589,
title = {On mod p non-abelian Lubin-Tate theory for GL_2(Q_p)},
author = {Przemyslaw Chojecki},
journal= {arXiv preprint arXiv:1303.4589},
year = {2015}
}
Comments
24 pages, submitted