This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.

Papers based on selected lectures given at the Current Development Mathematics Conference, held in November 2011 at Harvard University. Contents: The Laplacian on planar graphs and graphs on surfaces (Richard Kenyon); Hyperbolicity and stable polynomials in combinatorics and probability (Robin Pemantle); Introduction to KPZ (Jeremy Quastel)

Papers based on selected lectures given at the Current Development Mathematics Conference, held in November 2009 at Harvard University.

These are the proceedings of the joint seminar by M.I.T. and Harvard on the current Developments in mathematics for the year 2001. Established in 1995, this seminar has been continued on the third weekend of November every year. The organizing committee for the seminar consisted of distinguished mathematicians from the mathematics departments of both institutions: Barry Mazur, Wilfried Schmid, and Shing-Tung Yau from Harvard, and David Jerison, A. J. de Jong and George Lustig from M.I.T.. We trust that these proceedings will be of interest to many mathematicians, and will inspire future developments and research pursuits in mathematics.