Representation Theory Number Theory and Invariant Theory : In Honor of Roger Howe on the Occasion of His 70th Birthday 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 GLn (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 Lendoscopie Tordue: le CAS OÙ le Groupe Endoscopique Elliptique Non Ramifié Est un Tore (Lemaire Waldspurger) Paquets dArthur 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 θ Group Harmonics (Wallach) 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 Howes 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