Results 1 to 10 of about 42 (22)

Equidimensionality of universal pseudodeformation rings in characteristic p for absolute Galois groups of p-adic fields

open access: yesForum of Mathematics, Sigma, 2023
Let K be a finite extension of the p-adic field ${\mathbb {Q}}_p$ of degree d, let ${{\mathbb {F}}\,\!{}}$ be a finite field of characteristic p and let ${\overline {{D}}}$ be an n-dimensional pseudocharacter in the sense of ...
Gebhard Böckle, Ann-Kristin Juschka
doaj   +1 more source

Existence of a renormalized solution of nonlinear parabolic equations with lower order term and general measure data

open access: yes, 2021
u = 0 on ∂Ω× (0, T ). (1.3) In Problem (1.1)-(1.3) the framework is the following: the data μ is a general measure, b is a strictly increasing C-function, the operator −div(a(x, t,∇u)) is a Leray–Lions operator which is coercive and grows like |∇u| with ...
A. Marah, A. Bouajaja, H. Redwane
semanticscholar   +1 more source

DÉCOMPOSITION SPECTRALE ET REPRÉSENTATIONS SPÉCIALES D’UN GROUPE RÉDUCTIF $p$-ADIQUE [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2002
Soit $G$ un groupe réductif $p$-adique connexe. Nous effectuons une décomposition spectrale sur $G$ à partir de la formule d’inversion de Fourier utilisée dans ‘Une formule de Plancherel pour l’algèbre de Hecke d’un groupe réductif $p$-adique’, V ...
V. Heiermann
semanticscholar   +1 more source

On depth zero L‐packets for classical groups

open access: yesProceedings of the London Mathematical Society, Volume 121, Issue 5, Page 1083-1120, November 2020., 2020
Abstract By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation π of a classical group (which may be not‐quasi‐split) over a non‐archimedean local field of odd residual ...
Jaime Lust, Shaun Stevens
wiley   +1 more source

$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS

open access: yesForum of Mathematics, Pi, 2020
This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN   +3 more
doaj   +1 more source

DECIDABILITY IN LOCAL AND GLOBAL FIELDS

open access: yesInternational Congress of Mathematicans, 2019
This lecture highlights some recent advances on classical decidability issues in local and global (cid:28)elds. 2010 Mathematics Subject Classi(cid:28)cation: Primary 11U05; Secondary: 03B25, 11F85, 12J10, 12L05.
J. Koenigsmann
semanticscholar   +1 more source

A NOTE ON $p$-ADIC LINDEMANN-WEIERSTRASS

open access: yesInternational Journal of Apllied Mathematics, 2019
In this paper we apply Ax-Schanuel’s Theorem to the ultraproduct of the p−adic fields in order to prove a weak form of the p-adic LindemannWeierstrass conjecture for almost all primes.
A. Dalloul, A. Dalloul
semanticscholar   +1 more source

Profinite and finite groups associated with loop and diffeomorphism groups of non‐Archimedean manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2673-2688, 2003., 2003
We investigate p‐adic completions of clopen (i.e., closed and open at the same time) subgroups W of loop groups and diffeomorphism groups G of compact manifolds over non‐Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits,
S. V. Ludkovsky, B. Diarra
wiley   +1 more source

On local Galois deformation rings: generalised tori

open access: yesForum of Mathematics, Sigma
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised tori, such as L-groups of (possibly non-split) tori.
Vytautas Paškūnas, Julian Quast
doaj   +1 more source

Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution

open access: yesForum of Mathematics, Sigma
Let ${ F}/{ F}_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq 2$ with Galois automorphism $\sigma $ , and let R be an algebraically closed field of characteristic $\ell ...
Robert Kurinczuk   +2 more
doaj   +1 more source

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