Results 31 to 40 of about 197 (145)

Construction of automorphic Galois representations, II [PDF]

Cambridge Journal of Mathematics, 2013
Recent developments in the theory of the stable trace formula, especially the proof by Laumon and Ngo of the fundamental lemma for unitary groups, has revived Langlands’ strategy for constructing Galois representations in the `-adic cohomology of Shimura varieties.
Chenevier, Gaëtan, Harris, Michael
openaire   +3 more sources

Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$

Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre, Luca Marchesini, Nicole Raulf   +2 more
wiley   +1 more source

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

Wheeler-DeWitt wavefunctions for 5d BKL dynamics, automorphic L-functions and complex primon gases

Journal of High Energy Physics
The near-singularity BKL dynamics of five dimensional gravity and supergravity (and also an extended four-dimensional supergravity) is known to be given by the billiard problem of a particle within a fundamental domain of the Bianchi groups PSL(2, 𝒪 ...
Marine De Clerck, Sean A. Hartnoll, Ming Yang   +2 more
doaj   +1 more source

R4 couplings and automorphic unipotent representations [PDF]

Journal of High Energy Physics, 2010
Four-graviton, eight-derivative couplings in the low energy effective action of toroidal type II string compactifications are tightly constrained by U-duality invariance and by supersymmetry. In this note, we revisit earlier proposals for the automorphic form governing these couplings in dimension D=3,4,5,6, and propose that the correct automorphic ...
openaire   +4 more sources

One‐level densities in families of Grössencharakters associated to CM elliptic curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley   +1 more source

Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets

Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.
Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley   +1 more source

Representations and automorphisms of the irrational rotation algebra [PDF]

Pacific Journal of Mathematics, 1984
It is known that the representation theory of an irrational rotation algebra \(A_{\alpha}\) is rather complicated. Let U, V be generators of \(A_{\alpha}\) satisfying the relation \(UV=\exp (2\pi i\alpha)VU\). The author has succeeded to describe all separable representations of \(A_{\alpha}\) which have uniform multiplicity m(m') when restricted to ...
openaire   +2 more sources

3D Petro‐Structural Evolution of the High Pressure‐Low Temperature Phyllite‐Quartzite Nappe Pile in Southern Peloponnese, Greece

Tectonics, Volume 44, Issue 12, December 2025.
Abstract Tectonic underplating of high‐pressure/low‐temperature (HP‐LT) tectonic slices is a key mechanism in crustal growth at convergent margins. Yet, the processes controlling the geometry, depth and sequence of underplating events remain poorly constrained.
Maïlys Bouhot, Armel Menant, Clément Ganino, Samuel Angiboust, Onno Oncken, Laurent Jolivet, Damien Deldicque, Nikolaos Skarpelis, François Orange   +8 more
wiley   +1 more source

Lifting Automorphisms of Quotients of Adjoint Representations

Journal of Lie Theory, 2014
Changes made following referee's suggestions.
openaire   +3 more sources