Contributions to automorphic forms, geometry and number theory

Haruzo Hida, Dinakar Ramakrishnan, Freydoon Shahidi

910 pages, parution le 04/06/2004

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Résumé

In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry. Because these themes are at the cutting edge of a central area of modern mathematics, and are related to the philosophical base of Wiles'proof of Fermat's last theorem, this book will be of interest to working mathematicians and students alike. Never previously published, the contributions to this volume expose the reader to a host of difficult and thought-provoking problems.

Each of the extraordinary and noteworthy mathematicians brought together in this volume makes a unique contribution to a field that is currently seeing explosive growth. New and powerful results are being proved, radically and continually changing the field's make-up. Contributions to Automorphic Forms, Geometry, and Number Theory will likely lead to vital interaction among researchers and will also help prepare students and other young mathematicians entering this exciting area of pure mathematics.

Sommaire

Representation of the two by two unimodular group over local fields
Discrete series characters of division algebras and GLn over a p-adic field
Automorphic representations of GSp(4)
Elliptic curves, Hilbert modular forms, and the Hodge conjecture
On the global Gross-Prasad conjecture for Yoshida liftings
of twisted GL(3) automorphic L-functions
Harmonic analysis of the Schwartz space of r\SL2(R)
Equidistribution des points de Hecke
Remarks on Rankin-Selberg convolutions
On some geometric constructions related to theta characteristics
Can p-adic integrals be computed?
Occult period invariants and critical values of the degree four L-function of GSp(4)
On a conjecture of Jacquet
Integral representation of Whittaker functions
spectral identity for skew symmetric matrices
Generic representations and local Langlands reciprocity law for p-adic SO2n+i
Larsen's alternative, moments, and the monodromy of Lefschetz pencils
On the holomorphy of certain L-functions
Richardson varieties in the Grassmannian
Types and covers for SL(2)
Beyond endoscopy
An analogue of a conjecture of Mazur: A question in Diophantine approximation on tori
Existence of Ramanujan primes for GL(3)
Nonvanishing of L-functions on Dt(s) =1
Rational points and automorphic forms
Height zeta functions ofequivariant compactifications of the Heisenberg group
On highest Whittaker models and integral structures
Représentations de réduction unipotente pour SO(2n+l): quelques conséquences d'un article de Lusztig

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	PAPIER
Éditeur(s)	Johns Hopkins
Auteur(s)	Haruzo Hida, Dinakar Ramakrishnan, Freydoon Shahidi
Parution	04/06/2004
Nb. de pages	910
Format	18,5 x 26
Couverture	Relié
Poids	1720g
Intérieur	Noir et Blanc
EAN13	9780801878602
ISBN13	978-0-8018-7860-2