[PDF][PDF] Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups

WT Gan, BH Gross, D Prasad - Astérisque, 2011 - repository.ias.ac.in
It has been almost 20 years since two of us proposed a rather speculative approach to the
problem of restriction of irreducible representations from SOn to SOn− 1 [GP1, GP2]. Our …

On the decomposition of a representation of SOn when restricted to SOn-1

BH Gross, D Prasad - Canadian Journal of Mathematics, 1992 - cambridge.org
Let k be a local field, with char (k)≠ 2. A quadratic space V over k is a finite dimensional
vector space together with a non-degenerate quadratic form Q: V→ k. The special …

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 …

Trilinear forms and the central values of triple product -functions

A Ichino - 2008 - projecteuclid.org
TRILINEAR FORMS AND THE CENTRAL VALUES OF TRIPLE PRODUCT L-FUNCTIONS
Page 1 TRILINEAR FORMS AND THE CENTRAL VALUES OF TRIPLE PRODUCT L-FUNCTIONS …

Branching laws for classical groups: the non-tempered case

WT Gan, BH Gross, D Prasad - Compositio Mathematica, 2020 - cambridge.org
This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier
formulated for tempered or more generally generic L-packets to Arthur packets, especially …

On irreducible representations of SO2n+ 1× SO2m

BH Gross, D Prasad - Canadian Journal of Mathematics, 1994 - cambridge.org
ON IRREDUCIBLE REPRESENTATIONS OF S02n+1 x S02m Page 1 Can. J. Math. Vol. 46 (5),
1994 pp. 930-950 ON IRREDUCIBLE REPRESENTATIONS OF S02n+1 x S02m BENEDICT H …

Explicit Gross–Zagier and Waldspurger formulae

L Cai, J Shu, Y Tian - Algebra & Number Theory, 2014 - msp.org
Explicit Gross–Zagier and Waldspurger formulae Page 1 Algebra & Number Theory msp
Volume 8 2014 No. 10 Explicit Gross–Zagier and Waldspurger formulae Li Cai, Jie Shu and …

Eisenstein series and the cubic moment for PGL (2)

PD Nelson - arXiv preprint arXiv:1911.06310, 2019 - arxiv.org
Following a strategy suggested by Michel--Venkatesh, we study the cubic moment of
automorphic $ L $-functions on $\operatorname {PGL} _2 $ using regularized diagonal …

Torsion homology growth and cycle complexity of arithmetic manifolds

N Bergeron, MH Şengün, A Venkatesh - 2016 - projecteuclid.org
Let M be an arithmetic hyperbolic 3-manifold, such as a Bianchi manifold. We conjecture that
there is a basis for the second homology of M, where each basis element is represented by …

[PDF][PDF] Pullbacks of Saito-Kurokawa lifts

A Ichino - Inventiones mathematicae, 2005 - math.sci.osaka-u.ac.jp
Since F is a cusp form, the usual unfolding method does not work. Instead, we use seesaws
in the sense of Kudla [16]. We may assume that ch (N)∈ R for all N∈ N. Let f and g denote …