[图书][B] Local newforms for GSp (4)

B Roberts, R Schmidt - 2007 - books.google.com
Local Newforms for GSp (4) describes a theory of new-and oldforms for representations of
GSp (4) over a non-archimedean local field. This theory considers vectors fixed by the …

The local Langlands conjecture for GSp (4)

WT Gan, S Takeda - Annals of mathematics, 2011 - JSTOR
The local Langlands conjecture for GSp(4) Page 1 Annals of Mathematics 173 (2011), 1841-1882
doi: 10.4007/aimals.2011.173.3.12 The local Langlands conjecture for GSp(4) By Wee Teck …

Abelian surfaces over totally real fields are potentially modular

G Boxer, F Calegari, T Gee, V Pilloni - Publications mathématiques de l' …, 2021 - Springer
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields
are potentially modular. As a consequence, we obtain the expected meromorphic …

Eigenvarieties for reductive groups

E Urban - Annals of mathematics, 2011 - JSTOR
We develop the theory of overconvergent cohomology introduced by G. Stevens, and we
use it to give a construction of eigenvarieties associated to any reductive group G over ℚ …

[PDF][PDF] Structure arising from induction and Jacquet modules of representations of classical p-adic groups

M Tadic - Journal of Algebra, 1995 - mahazu.hazu.hr
Jacquet modules are very useful in the study of parabolically induced representations of
reductive groups over a p-adic field F (we shall assume char F= 2 in this paper). It is very …

[图书][B] Endoscopy for GSp (4) and the cohomology of Siegel modular threefolds

R Weissauer - 2009 - books.google.com
This volume grew out of a series of preprints which were written and circulated-tween 1993
and 1994. Around the same time, related work was done independently by Harder [40] and …

[PDF][PDF] Representations of -adic symplectic groups

M Tadić - Compositio Mathematica, 1994 - numdam.org
GSp (n, F). The inner geometry of these groups motivates us to consider the representations
of these groups as modules over representations of general linear groups. Such an idea …

On reducibility of parabolic induction

M Tadić - Israel Journal of Mathematics, 1998 - Springer
Jacquet modules of a reducible parabolically induced representation of a reductive p-adic
group reduce in a way consistent with the transitivity of Jacquet modules. This fact can be …

The distribution of totients

K Ford - The Ramanujan Journal, 1998 - Springer
This paper is a comprehensive study of the set of totients, ie, the set of values taken by
Euler's φ-function. The main functions studied are V (x), the number of totients≤ x, A (m), the …

Galois representations attached to automorphic forms on fields

CP Mok - Compositio Mathematica, 2014 - cambridge.org
In this paper we generalize the work of Harris–Soudry–Taylor and construct the compatible
systems of two-dimensional Galois representations attached to cuspidal automorphic …