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Automorphic forms and related geometry : [electronic resource] assessing the legecy of I.I. Piatetski-Shapiro : April 23-27, 2012, Yale University, New Haven, CT / James W. Cogdell, Freydoon Shahidi, David Soudry, editors.

Contributor(s): Cogdell, James W, 1953- [editor of compilation.] | Shahidi, Freydoon [editor of compilation.] | Soudry, David, 1956- [editor of compilation.].

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BookSeries: Contemporary mathematics, v. 614.Publisher: Providence, Rhode Island : American Mathematical Society, [2014]Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470416584 (online).Subject(s): P�iate�tski�i-Shapiro, I. I. (Il��ia Iosifovich), 1929-2009 | Automorphic forms -- Congresses | L-functions -- Congresses | Forms (Mathematics) -- Congresses | Geometry -- Congresses | Number theory -- Discontinuous groups and automorphic forms -- Discontinuous groups and automorphic forms | Topological groups, Lie groups -- Lie groups -- Lie groups | Algebraic geometry -- Surfaces and higher-dimensional varieties -- Surfaces and higher-dimensional varietiesAdditional physical formats: Automorphic forms and related geometry :DDC classification: 515/.9 Other classification: 11FXX | 22EXX | 14JXX Online resources: Contents | Contents

Contents:

On parameters for the group $SO(2n)$ / James Arthur -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12263 Piatetski-Shapiro's Work on Converse Theorems / J. W. Cogdell -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12247 A $p$-adic integral for the reciprocal of $L$-functions / Stephen Gelbart, Stephen D. Miller, Alexei Panchishkin and Freydoon Shahidi -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12248 Harmonic analysis on symmetric spaces as complex analysis / Simon Gindikin -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12249 Testing rationality of coherent cohomology of Shimura varieties / Michael Harris -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12250 Hecke fields of Hilbert modular analytic families / Haruzo Hida -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12251 Structure of holomorphic unitary representations: the case of $\mathbf {U_{2,2}}$ / Roger Howe and Soo Teck Lee -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12258 Mellin Transform of Whittaker functions / Herv�e Jacquet -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12252 Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences / Dihua Jiang -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12253 An inductive formula for $\varepsilon $-factors / Ju-Lee Kim -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12266 On a new functional equation for local integrals / Erez Lapid and Zhengyu Mao -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12271 Paquets stables des s�eries discr�etes accessibles par endoscopie tordue; leur param�etre de Langlands / Colette M�glin -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12254 On a certain sum of automorphic $L$-functions / Ng�o Bao Ch�au -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12270 Analytic constructions of $p$-adic $L$-functions and Eisenstein series / Alexei Panchishkin -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12265 On stability of root numbers / J. W. Cogdell, F. Shahidi and T.-L. Tsai -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12255 CAP forms, Eisenstein series, and some arithmetic applications / Christopher Skinner -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12269 Automorphic descent: an outgrowth from Piatetski-Shapiro's vision / David Soudry -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12256 On the singularities of branch curves of $K3$ surfaces and applications / Michael Friedman and Mina Teicher -- http://www.ams.org/conm/614/ http://dx.doi.org/10.1090/conm/614/12257

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Based on a conference held April 23-27, 2012, at Yale University.

Includes bibliographical references and index.

On parameters for the group $SO(2n)$ / James Arthur -- Piatetski-Shapiro's Work on Converse Theorems / J. W. Cogdell -- A $p$-adic integral for the reciprocal of $L$-functions / Stephen Gelbart, Stephen D. Miller, Alexei Panchishkin and Freydoon Shahidi -- Harmonic analysis on symmetric spaces as complex analysis / Simon Gindikin -- Testing rationality of coherent cohomology of Shimura varieties / Michael Harris -- Hecke fields of Hilbert modular analytic families / Haruzo Hida -- Structure of holomorphic unitary representations: the case of $\mathbf {U_{2,2}}$ / Roger Howe and Soo Teck Lee -- Mellin Transform of Whittaker functions / Herv�e Jacquet -- Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences / Dihua Jiang -- An inductive formula for $\varepsilon $-factors / Ju-Lee Kim -- On a new functional equation for local integrals / Erez Lapid and Zhengyu Mao -- Paquets stables des s�eries discr�etes accessibles par endoscopie tordue; leur param�etre de Langlands / Colette M�glin -- On a certain sum of automorphic $L$-functions / Ng�o Bao Ch�au -- Analytic constructions of $p$-adic $L$-functions and Eisenstein series / Alexei Panchishkin -- On stability of root numbers / J. W. Cogdell, F. Shahidi and T.-L. Tsai -- CAP forms, Eisenstein series, and some arithmetic applications / Christopher Skinner -- Automorphic descent: an outgrowth from Piatetski-Shapiro's vision / David Soudry -- On the singularities of branch curves of $K3$ surfaces and applications / Michael Friedman and Mina Teicher --

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Automorphic forms and related geometry : [electronic resource] assessing the legecy of I.I. Piatetski-Shapiro : April 23-27, 2012, Yale University, New Haven, CT / James W. Cogdell, Freydoon Shahidi, David Soudry, editors.

Contributor(s): Cogdell, James W, 1953- [editor of compilation.] | Shahidi, Freydoon [editor of compilation.] | Soudry, David, 1956- [editor of compilation.].