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Birkhäuser

Representation Theory, Number Theory, and Invariant Theory

In Honor of Roger Howe on the Occasion of His 70th Birthday

  • Book
  • © 2017

Overview

Editors:
  1. Jim Cogdell

    1. Department of Mathematics, Ohio State University, Columbus, USA

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  2. Ju-Lee Kim

    1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Chen-Bo Zhu

    1. Department of Mathematics, National University of Singapore, Singapore, Singapore

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  • Details recent advances in fields influenced by the work of Roger Howe
  • Based on talks given at the eponymous conference held at Yale University in 2015
  • Speakers include Roger Howe himself and other world renowned mathematicians
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 323)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Euler-Poincaré Characteristic for the Oscillator Representation

    • Jeffrey D. Adams, Dipendra Prasad, Gordan Savin
    Pages 1-22

  3. Problems Beyond Endoscopy

    • James Arthur
    Pages 23-45

  4. Unipotent Representations and the Dual Pair Correspondence

    • Dan Barbasch
    Pages 47-85

  5. On the Elliptic Nonabelian Fourier Transform for Unipotent Representations of p-Adic Groups

    • Dan Ciubotaru, Eric Opdam
    Pages 87-113

  6. Derivatives and L-Functions for GL n

    • J. W. Cogdell, I. I. Piatetski-Shapiro
    Pages 115-173

  7. The Howe Duality Conjecture: Quaternionic Case

    • Wee Teck Gan, Binyong Sun
    Pages 175-192

  8. 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

  9. Small Representations of Finite Classical Groups

    • Shamgar Gurevich, Roger Howe
    Pages 209-234

  10. Period Relations and Special Values of Rankin-Selberg L-Functions

    • Michael Harris, Jie Lin
    Pages 235-264

  11. Standard Monomial Theory for Harmonics in Classical Invariant Theory

    • Roger Howe, Sangjib Kim, Soo Teck Lee
    Pages 265-302

  12. Automorphic Integral Transforms for Classical Groups II: Twisted Descents

    • Dihua Jiang, Lei Zhang
    Pages 303-335

  13. Construction of Tame Types

    • Ju-Lee Kim, Jiu-Kang Yu
    Pages 337-357

  14. Global Analysis by Hidden Symmetry

    • Toshiyuki Kobayashi
    Pages 359-397

  15. 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

  16. Paquets d’Arthur Spéciaux Unipotents aux Places Archimédiennes et Correspondance de Howe

    • Colette Mœglin
    Pages 469-502

  17. Computations with Bernstein Projectors of SL(2)

    • Allen Moy
    Pages 503-533

  18. Some New Supercuspidal Representations

    • Mark Reeder
    Pages 535-543

  19. Plancherel Decomposition of Howe Duality and Euler Factorization of Automorphic Functionals

    • Yiannis Sakellaridis
    Pages 545-585

  20. On the Conservation Conjectures of Kudla and Rallis

    • Binyong Sun, Chen-Bo Zhu
    Pages 587-602
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Keywords

About this book

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.


Editors and Affiliations

  • Department of Mathematics, Ohio State University, Columbus, USA

    Jim Cogdell

  • Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    Ju-Lee Kim

  • Department of Mathematics, National University of Singapore, Singapore, Singapore

    Chen-Bo Zhu

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