Zobrazeno 1 - 10
of 179
pro vyhledávání: '"Friedberg, Solomon"'
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
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
One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called $(k,c)$ models, for local components of generalized Speh representations. We construct a family of $(k,c)$ representations, in a
Externí odkaz:
http://arxiv.org/abs/2109.11309
Autor:
Friedberg, Solomon, Ginzburg, David
The classical theta correspondence, based on the Weil representation, allows one to lift automorphic representations on symplectic groups or their double covers to automorphic representations on special orthogonal groups. It is of interest to vary th
Externí odkaz:
http://arxiv.org/abs/2109.05099
Autor:
Friedberg, Solomon, Ginzburg, David
Publikováno v:
In Journal of Number Theory February 2024 255:98-147
Autor:
Friedberg, Solomon, Ginzburg, David
Publikováno v:
Geom. Funct. Anal. Vol. 30 (2020), 1531-1582
The classical theta correspondence establishes a relationship between automorphic representations on special orthogonal groups and automorphic representations on symplectic groups or their double covers. This correspondence is achieved by using as in
Externí odkaz:
http://arxiv.org/abs/2006.09305
Autor:
Friedberg, Solomon, Ginzburg, David
Publikováno v:
Relative Trace Formulas (M\"uller, Shin, Templier, eds.), Simons Symposia, Springer, Cham, 2021, pp. 75-100
There are many Rankin-Selberg integrals representing Langlands $L$-functions, and it is not apparent what the limits of the Rankin-Selberg method are. The Dimension Equation is an equality satisfied by many such integrals that suggests a priority for
Externí odkaz:
http://arxiv.org/abs/1904.07759
We study the generalized doubling method for pairs of representations of $G\times GL_k$ where $G$ is a symplectic group, split special orthogonal group or split general spin group. We analyze the poles of the local integrals, and prove that the globa
Externí odkaz:
http://arxiv.org/abs/1802.02637
We present an integral representation for the tensor product $L$-function of a pair of automorphic cuspidal representations, one of a classical group, the other of a general linear group. Our construction is uniform over all classical groups, and is
Externí odkaz:
http://arxiv.org/abs/1710.00905
We present a new framework for a broad class of affine Hecke algebra modules, and show that such modules arise in a number of settings involving representations of $p$-adic groups and $R$-matrices for quantum groups. Instances of such modules arise f
Externí odkaz:
http://arxiv.org/abs/1704.00701