Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday (Progress in Mathematics Book 323)

This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion of his 70th birthday, whose work and insights have been deeply influential in the development of these fields. The speakers who contributed to this work include Roger Howe's doctoral students, Roger Howe himself, and other world renowned mathematicians. Topics covered include automorphic forms, invariant theory, representation theory of reductive groups over local fields, and related subjects.-- Provided by publisher Euler-poincaré Characteristic For The Oscillator Representation / Jeffrey D. Adams, Dipendra Prasad And Gordan Savin -- Problems Beyond Endoscopy / James Arthur -- Unipotent Representations And The Dual Pair Correspondence / Dan Barbasch -- On The Elliptic Nonabelian Fourier Transform For Unipotent Representations Of P-adic Groups / Dan Ciubotaru And Eric Opdam -- Derivatives And L-functions For Gln / J.w. Cogdell And I.i. Piatetski-shapiro -- The Howe Duality Conjecture: Quaternionic Case / Wee Teck Gan And Binyoung Sun -- Estimates On Eisenstein Distributions For Reciprocals Of P-adic L-functions: The Case Of Irregular Primes / Stephen Gelbart, Ralph Greenberg, Stephen D. Miller, And Freydoon Shahidi -- Small Representations Of Finite Classical Groups / Shamgar Gurevich And Roger Howe -- Period Relations And Special Values Of Rankin-selberg L-functions / Michael Harris And Jie Lin -- Standard Monomial Theory For Harmonics In Classical Invariant Theory / Roger Howe, Sangjib Kim, And Soo Teck Lee -- Automorphic Integral Transforms For Classical Groups Ii: Twisted Descents / Dihua Jiang And Lei Zhang -- Construction Of Tame Types / Ju-lee Kim And Jiu-kang Yu -- Global Analysis By Hidden Symmetry / Toshiyuki Kobayashi -- Le Lemme Fondamental Pour L'endoscopie Tordue: Le Cas Où Le Groupe Endscopique Elliptique Non Ramifié Est Un Tore / Bertrand Lemaire And Jean-loup Waldspurger -- Paquets D'arthur Spéciaux Unipotents Aux Places Archemédienne Et Correspondence De Howe / Colette Moeglin -- Computations With Bernstein Projectors Of Sl(2) / Allen Moy -- Some New Supercuspidal Representations / Mark Reeder -- Plancherel Decomposition Of Howe Duality And Euler Factorization Of Automoprhic Functionals / Yiannis Sakellaridis -- On The Conservation Conjectures Of Kudla And Rallis / Binyong Sun And Chen-bo Zhu -- An Analogue Of The Kostant-rallis Multiplicity Theorem For Theta-group Harmonics / Nolan R. Wallach. Jim Cogdell, Ju-lee Kim, Chen-bo Zhu, Editors. This Volume Is An Outgrowth Of The Conference Representation Theory, Number Theory, And Invariant Theory: In Honor Of Roger Howe On The Occasion Of His 70th Birthday, Held At Yale University, June 1-5, 2015--preface. Includes Bibliographical References. Front Matter ....Pages i-xiv Euler-Poincaré Characteristic for the Oscillator Representation (Jeffrey D. Adams, Dipendra Prasad, Gordan Savin)....Pages 1-22 Problems Beyond Endoscopy (James Arthur)....Pages 23-45 Unipotent Representations and the Dual Pair Correspondence (Dan Barbasch)....Pages 47-85 On the Elliptic Nonabelian Fourier Transform for Unipotent Representations of p-Adic Groups (Dan Ciubotaru, Eric Opdam)....Pages 87-113 Derivatives and L-Functions for GLn (J. W. Cogdell, I. I. Piatetski-Shapiro)....Pages 115-173 The Howe Duality Conjecture: Quaternionic Case (Wee Teck Gan, Binyong Sun)....Pages 175-192 Estimates on Eisenstein Distributions for Reciprocals of p-Adic L-Functions: The Case of Irregular Primes (Stephen Gelbart, Ralph Greenberg, Stephen D. Miller, Freydoon Shahidi)....Pages 193-208 Small Representations of Finite Classical Groups (Shamgar Gurevich, Roger Howe)....Pages 209-234 Period Relations and Special Values of Rankin-Selberg L-Functions (Michael Harris, Jie Lin)....Pages 235-264 Standard Monomial Theory for Harmonics in Classical Invariant Theory (Roger Howe, Sangjib Kim, Soo Teck Lee)....Pages 265-302 Automorphic Integral Transforms for Classical Groups II: Twisted Descents (Dihua Jiang, Lei Zhang)....Pages 303-335 Construction of Tame Types (Ju-Lee Kim, Jiu-Kang Yu)....Pages 337-357 Global Analysis by Hidden Symmetry (Toshiyuki Kobayashi)....Pages 359-397 Le Lemme Fondamental pour L’endoscopie Tordue: Le Cas où le Groupe Endoscopique Elliptique Non Ramifié est un Tore (Bertrand Lemaire, Jean-Loup Waldspurger)....Pages 399-468 Paquets d’Arthur Spéciaux Unipotents aux Places Archimédiennes et Correspondance de Howe (Colette Mœglin)....Pages 469-502 Computations with Bernstein Projectors of SL(2) (Allen Moy)....Pages 503-533 Some New Supercuspidal Representations (Mark Reeder)....Pages 535-543 Plancherel Decomposition of Howe Duality and Euler Factorization of Automorphic Functionals (Yiannis Sakellaridis)....Pages 545-585 On the Conservation Conjectures of Kudla and Rallis (Binyong Sun, Chen-Bo Zhu)....Pages 587-602 An Analogue of the Kostant–Rallis Multiplicity Theorem for θ-Group Harmonics (Nolan R. Wallach)....Pages 603-626