eBook ISBN:  9780821881675 
Product Code:  CONM/488.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821881675 
Product Code:  CONM/488.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsIsrael Mathematical Conference ProceedingsVolume: 488; 2009; 285 ppMSC: Primary 11
This book is the first of two volumes, which represent leading themes of current research in automorphic forms and representation theory of reductive groups over local fields. Articles in this volume mainly represent global aspects of automorphic forms. Among the topics are the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin–Selberg convolutions and \(L\)functions; and \(p\)adic \(L\)functions. The articles are written by leading researchers in the field, and bring the reader, advanced graduate students and researchers alike, to the frontline of the vigorous research in these deep, vital topics. The companion volume (Contemporary Mathematics, Volume 489) is devoted to local aspects of automorphic forms.
The volume is based on talks presented at a Workshop in Honor of Steve Gelbart on the Occasion of his Sixtieth Birthday, held May 1519, 2006, in Rehovot and Tel Aviv, Israel.
This book is copublished with BarIlan University (RamatGan, Israel).
ReadershipGraduate students and research mathematicians interested in representation theory and automorphic forms.

Table of Contents

Articles

James Arthur — Report on the trace formula [ MR 2522025 ]

Asher BenArtzi and David Soudry — $L$functions for ${\rm U}_m\times R_{E/F}{\rm GL}_n\ (n\leq [{m\over 2}])$ [ MR 2522026 ]

Ben Brubaker, Daniel Bump and Solomon Friedberg — Gauss sum combinatorics and metaplectic Eisenstein series [ MR 2522027 ]

J. W. Cogdell and I. I. PiatetskiShapiro — On partial Poincaré series [ MR 2522028 ]

Wee Teck Gan and Nadya Gurevich — Restrictions of SaitoKurokawa representations [ MR 2522029 ]

David Ginzburg, Dihua Jiang and Stephen Rallis — Models for certain residual representations of unitary groups [ MR 2522030 ]

Bernhard Krötz — Crown theory for the upper half plane [ MR 1500291 ]

Omer Offen — Unitary periods and Jacquet’s relative trace formula [ MR 2522031 ]

Dinakar Ramakrishnan — Remarks on the symmetric powers of cusp forms on $\rm GL(2)$ [ MR 2522032 ]

Joachim Schwermer — The cohomological approach to cuspidal automorphic representations [ MR 2522033 ]


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This book is the first of two volumes, which represent leading themes of current research in automorphic forms and representation theory of reductive groups over local fields. Articles in this volume mainly represent global aspects of automorphic forms. Among the topics are the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin–Selberg convolutions and \(L\)functions; and \(p\)adic \(L\)functions. The articles are written by leading researchers in the field, and bring the reader, advanced graduate students and researchers alike, to the frontline of the vigorous research in these deep, vital topics. The companion volume (Contemporary Mathematics, Volume 489) is devoted to local aspects of automorphic forms.
The volume is based on talks presented at a Workshop in Honor of Steve Gelbart on the Occasion of his Sixtieth Birthday, held May 1519, 2006, in Rehovot and Tel Aviv, Israel.
This book is copublished with BarIlan University (RamatGan, Israel).
Graduate students and research mathematicians interested in representation theory and automorphic forms.

Articles

James Arthur — Report on the trace formula [ MR 2522025 ]

Asher BenArtzi and David Soudry — $L$functions for ${\rm U}_m\times R_{E/F}{\rm GL}_n\ (n\leq [{m\over 2}])$ [ MR 2522026 ]

Ben Brubaker, Daniel Bump and Solomon Friedberg — Gauss sum combinatorics and metaplectic Eisenstein series [ MR 2522027 ]

J. W. Cogdell and I. I. PiatetskiShapiro — On partial Poincaré series [ MR 2522028 ]

Wee Teck Gan and Nadya Gurevich — Restrictions of SaitoKurokawa representations [ MR 2522029 ]

David Ginzburg, Dihua Jiang and Stephen Rallis — Models for certain residual representations of unitary groups [ MR 2522030 ]

Bernhard Krötz — Crown theory for the upper half plane [ MR 1500291 ]

Omer Offen — Unitary periods and Jacquet’s relative trace formula [ MR 2522031 ]

Dinakar Ramakrishnan — Remarks on the symmetric powers of cusp forms on $\rm GL(2)$ [ MR 2522032 ]

Joachim Schwermer — The cohomological approach to cuspidal automorphic representations [ MR 2522033 ]