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.