Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Offen, Omer"'
We construct new irreducible components in the discrete automorphic spectrum of symplectic groups. The construction lifts a cuspidal automorphic representation of $\mathrm{GL}_{2n}$ with a linear period to an irreducible component of the residual spe
Externí odkaz:
http://arxiv.org/abs/2410.10635
We prove the absolute convergence, functional equations and meromorphic continuation of local intertwining periods on parabolically induced representations of finite length for certain symmetric spaces over local fields of characteristic zero, includ
Externí odkaz:
http://arxiv.org/abs/2303.03663
Autor:
Friedberg, Solomon, Offen, Omer
The classical Shimura correspondence lifts automorphic representations on the double cover of $SL_2$ to automorphic representations on $PGL_2$. Here we take key steps towards establishing a relative trace formula that would give a new global Shimura
Externí odkaz:
http://arxiv.org/abs/2202.01247
Publikováno v:
In Journal of Functional Analysis 15 February 2024 286(4)
Autor:
Matringe, Nadir, Offen, Omer
We consider distinction of representations in the context of $p$-adic Galois symmetric spaces. We provide new sufficient conditions for distinction of parabolically induced representations in terms of similar conditions on the inducing data and deduc
Externí odkaz:
http://arxiv.org/abs/2102.00480
Autor:
Lapid, Erez, Offen, Omer
We provide a Plancherel decomposition for the space of symplectic bilinear forms of rank $2n$ over a local non-archimedean field $F$ in terms of that of $GL_n(F)$.
Comment: with an appendix by Dmitry Gourevitch
Comment: with an appendix by Dmitry Gourevitch
Externí odkaz:
http://arxiv.org/abs/1909.11971
Autor:
Mitra, Arnab, Offen, Omer
We study ${\rm Sp}_{2n}(F)$-distinction for representations of the quasi-split unitary group $U_{2n}(E/F)$ in $2n$ variables with respect to a quadratic extension $E/F$ of $p$-adic fields. A conjecture of Dijols and Prasad predicts that no tempered r
Externí odkaz:
http://arxiv.org/abs/1806.04825
Autor:
Matringe, Nadir, Offen, Omer
We study a relation between distinction and special values of local invariants for representations of the general linear group over a quadratic extension of $p$-adic fields. We show that the local Rankin-Selberg root number of any pair of distinguish
Externí odkaz:
http://arxiv.org/abs/1607.01982
We give a new proof of the existence of Klyachko models for unitary representations of ${\rm GL}_{n}(F)$ over a non-archimedean local field $F$. Our methods are purely local and are based on studying distinction within the class of ladder representat
Externí odkaz:
http://arxiv.org/abs/1605.09197
Autor:
Gurevich, Maxim, Offen, Omer
Let $G$ be a reductive group and $\theta$ an involution on $G$, both defined over a $p$-adic field. We provide a criterion for $G^\theta$-integrability of matrix coefficients of representations of $G$ in terms of their exponents along $\theta$-stable
Externí odkaz:
http://arxiv.org/abs/1509.03041