The local Jacquet--Langlands correspondence and congruences modulo {\ell}

Autor: M��nguez, Alberto, S��cherre, Vincent

Publikováno v: Inventiones Mathematicae
Inventiones Mathematicae, Springer Verlag, 2017, 208 (2), pp.553-631. ⟨10.1007/s00222-016-0696-y⟩
Inventiones Mathematicae, 2017, 208 (2), pp.553-631. ⟨10.1007/s00222-016-0696-y⟩

Let F be a non-Archimedean local field of residual characteristic p, and {\ell} be a prime number different from p. We consider the local Jacquet-Langlands correspondence between {\ell}-adic discrete series of GL(n,F) and an inner form GL(m,D). We sh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::762ec1ada3ae9745c9fdcf86762c4376
http://arxiv.org/abs/1507.04119

Comptage de représentations cuspidales congruentes

Autor: Sécherre, Vincent

Let $F$ be a non-Archimedean locally compact field of residue characteristic $p$, $G$ be an inner form of $GL_n(F)$, $n\ge1$, and $\ell$ be a prime number different from $p$. We give a numerical criterion for an integral $\ell$-adic irreducible cuspi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=arXiv_dedup_::db17c0b913e32e8206aaac9a82269e92
https://hal.archives-ouvertes.fr/hal-01174800/file/comptage.pdf

Computing Hilbert Class Polynomials

Autor: Reinier Bröker, Juliana Belding, Andreas Enge, Kristin E. Lauter

Publikováno v: ANTS-VIII-Eighth Algorithmic Number Theory Symposium
ANTS-VIII-Eighth Algorithmic Number Theory Symposium, May 2008, Banff, Canada. pp.282-295
Lecture Notes in Computer Science ISBN: 9783540794554
ANTS

International audience; We present and analyze two algorithms for computing the Hilbert class polynomial $H_D$ . The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < 0. The second is an improved Chinese remainde

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3ea655be5489cfb2e2af125336b2d9c
https://inria.hal.science/inria-00246115/document

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