Representation Theory, Number Theory, and Invariant Theory

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

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.

• Representation Theory
• Number Theory
• Invariant Theory
• Abstract Algebra
• Group Theory

• 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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