Representation Theory, Number Theory, and Invariant Theory

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

Jim Cogdell, Ju-Lee Kim, Chen-bo Zhu (Herausgeber)

Buch | Hardcover

XIV, 626 Seiten

2018 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-59727-0 (ISBN)

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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.

Euler-Poincaré Characteristic for the Oscillator Representation (Adams, Prasad, Savin).- Problems Beyond Endoscopy (Arthur).- Unipotent Representations and the Dual Pair Correspondence (Barbasch).- On the Elliptic Nonabelian Fourier Transform for Unipotent Representations of p-adic Groups (Ciubotaru, Opdam).- Derivatives and L-functions for GL_n (Cogdell, Piatetski-Shapiro).- The Howe Duality Conjecture: Quaternionic Case (Gan, Sun).- Estimates on Eisenstein Distributions for Reciprocals of p-adic L-functions: The Case of Irregular Primes (Gelbart, Greenberg, Miller, Shahidi).- Small Representations of Finite Classical Groups (Gurevitch, Howe).- Period Relations and Special Values of Rankin-Selberg L-functions (Harris, Lin).- Standard Monomial Theory for Harmonics in Classical Invariant Theory (Howe, Kim, Lee).- Automorphic Integral Transforms for Classical Groups II: Twisted Descents (Jiang, Zhang).- Construction of Tame Types (Kim, Yu).- Global Analysis by Hidden Symmetry (Kobayashi).- Le Lemme Fondamental Pour L'endoscopie Tordue: le CAS OÙ le Groupe Endoscopique Elliptique Non Ramifié Est un Tore (Lemaire, Waldspurger).- Paquets d'Arthur Spéciaux Unipotents aux Places Archimédiennes et Correspondence de Howe (Moeglin).- Computations with Bernstein Projectors of SL (2) (Moy).- Some New Supercuspidal Representations (Reeder).- Plancherel Decomposition of Howe Duality and Euler Factorization of Automorphic Functionals (Sakellaridis).- On the Conservation Conjectures of Kudla and Rallis (Sun, Zhu).- An Analogue of the Kostant-Rallis Multiplicity Theorem for th-Group Harmonics (Wallach).

Erscheinungsdatum	27.01.2018
Reihe/Serie	Progress in Mathematics
Zusatzinfo	XIV, 626 p. 53 illus., 7 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1070 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	abstract algebra • Algebra • Associative rings and algebras • Category Theory, Homological Algebra • Groups & group theory • Groups & group theory • group theory • Group Theory and Generalizations • Invariant theory • Mathematical Foundations • Mathematics • mathematics and statistics • Number Theory • Representation Theory
ISBN-10	3-319-59727-2 / 3319597272
ISBN-13	978-3-319-59727-0 / 9783319597270
Zustand	Neuware