Contains problems about mapping class groups, the moduli space of Riemann surfaces, and Teichmuller geometry. This book concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geome

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume, since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields.

Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a legacy that continues into the 21st century. This book presents the proceedings of an AMS Special Session entitled, Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honouring the Memory of Harish-Chandra, which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by internationally known...

Contains sections on Reductive groups, representations, Automorphic forms and representations.

The ideas of John von Neumann have had a profound influence on modern mathematics and science. The AMS Symposium in Pure Mathematics, held at Hofstra University, in May 1988 brought together some of the foremost researchers in the wide range of areas in wh

Proceedings of a research institute held at Pennsylvania State University, July 1991, focusing on quantum and infinite-dimensional methods of algebraic groups. Topics include perverse sheaves, finite Chevalley groups, the general theory of algebraic groups, representations, invariant theory, general

Professor Goro Shimura was principal speaker at a conference on Euler Products and Eisenstein Series held at Texas Christian University (see CBMS Regional Conference Series in Mathematics, Volume 93). This volume contains articles based on talks at the conference, and other commissioned works.

These three parts contain the proceedings of the AMS Summer Institute on Differential Geometry, held at the University California, Los Angeles in July, 1990. This was the largest AMS Summer Institute ever, relecting the wide-ranging and intense research activity in the subject. The parts contain many extensive survey articles presenting perspectives on relatively broad topics; these articles would be accessible to advanced graduate students. In addition, the authors of the research articles were encouraged to survey the relevant literature. The three parts together offer the deepest and most...

In the late 1960s and early 1970s, Phillip Griffiths and his collaborators undertook a study of period mappings and variation of Hodge structure. The motivating problems, which centered on the understanding of algebraic varieties and the algebraic cycles on them, came from algebraic geometry. However, the techiques used were transcendental in nature, drawing heavily on both Lie theory and hermitian differential geometry. Promising approaches were formulated to fundamental questions in the theory of algebraic curves, moduli theory, and the deep interaction between Hodge theory and algebraic...

Contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Non relativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semi non relativistic Limit.