Zobrazeno 1 - 10
of 389
pro vyhledávání: '"22E35"'
Autor:
Linden, Georg
Let $G$ be a split connected reductive group over a non-archimedean local field. In the $p$-adic setting, Orlik-Strauch constructed functors from the BGG category $\mathcal{O}$ associated to the Lie algebra of $G$ to the category of locally analytic
Externí odkaz:
http://arxiv.org/abs/2407.06873
Autor:
Vanhaecke, Arnaud
Colmez, Dospinescu and Niziol have shown that the only $p$-adic representations of $\rm{Gal}(\bar{\mathbb{Q}}_p/\mathbb{Q}_p)$ appearing in the $p$-adic \'etale cohomology of the coverings of Drinfeld's half-plane are the $2$-dimensional cuspidal rep
Externí odkaz:
http://arxiv.org/abs/2405.10048
Autor:
Luo, Yufan
This paper studies the Unramified Fontaine-Mazur Conjecture for $ p $-adic Galois representations and its generalizations. We prove some basic cases of the conjecture and provide some useful criterions for verifying it. In addition, we propose severa
Externí odkaz:
http://arxiv.org/abs/2404.18967
Let $G$ be a reductive group over a local field $F$ of characteristic $0$. By Harish-Chandra's regularity theorem, the character $\Theta_{\pi}$ of an irreducible, admissible representation $\pi$ of $G$ is given by a locally integrable function $\thet
Externí odkaz:
http://arxiv.org/abs/2312.01591
We propose two families of relative trace formula comparisons in the study of relative Langlands duality conjectured by Ben-Zvi--Sakellaridis--Venkatesh. This allows us to incorporate numerous relative trace formula comparisons studied during the las
Externí odkaz:
http://arxiv.org/abs/2310.17837
Autor:
Ciobotaru, Corina, Frahm, Jan
For a quadratic extension $\mathbb{E}/\mathbb{F}$ of non-archimedean local fields we construct explicit holomorphic families of intertwining operators between principal series representations of $\operatorname{PGL}(2,\mathbb{E})$ and $\operatorname{P
Externí odkaz:
http://arxiv.org/abs/2309.14864
Autor:
DeBacker, Stephen
Suppose $k$ is a nonarchimedean local field, $K$ is a maximally unramified extension of $k$, and $\mathbf{G}$ is a connected reductive $k$-group. If $\mathbf{T}$ is a $K$-minisotropic maximal $k$-torus in $\mathbf{G}$, then we use Bruhat-Tits theory
Externí odkaz:
http://arxiv.org/abs/2309.09049
Autor:
Wan, Chen, Zhang, Lei
In this paper, we form a conjecture about the multiplicities of all the strongly tempered spherical varieties without Type N root for tempered representations. This generalizes the epsilon dichotomy conjectures of Gan-Gross-Prasad and Wan-Zhang.
Externí odkaz:
http://arxiv.org/abs/2308.11425
This paper presents a novel, interdisciplinary study that leverages a Machine Learning (ML) assisted framework to explore the geometry of affine Deligne-Lusztig varieties (ADLV). The primary objective is to investigate the nonemptiness pattern, dimen
Externí odkaz:
http://arxiv.org/abs/2308.11355
Quantum ergodicity on the Bruhat-Tits building for $\text{PGL}(3, F)$ in the Benjamini-Schramm limit
Autor:
Peterson, Carsten
We study joint eigenfunctions of the spherical Hecke algebra acting on $L^2(\Gamma_n \backslash G / K)$ where $G = \text{PGL}(3, F)$ with $F$ a non-archimedean local field of arbitrary characteristic, $K = \text{PGL}(3, O)$ with $O$ the ring of integ
Externí odkaz:
http://arxiv.org/abs/2304.08641