This volume presents the proceedings of an international conference held at Seoul National University (Korea). Talks covered developments in diverse areas related to the theory of integral quadratic forms and hermitian forms, local densities, linear relations and congruences of theta series, zeta functions of prehomogeneous vector spaces, lattices with maximal finite matrix groups, globally irreducible lattices, Mordell-Weil lattices, and more. Articles in the volume represent expository lectures by experts on developments in the field. The book offers a comprehensive introduction to the...

An illustration of the versatility of Algebraic Topology interacting with other areas in Mathematics and Physics. It discusses topics ranging from classical Differential Topology and Homotopy Theory (Kervaire invariant one problem) to lines of research suc

Features papers based on the talks given at the conference on quantum groups dedicated to the memory of Joseph Donin, which was held at the Technion Institute, Haifa, Israel in July 2004. This title includes articles that deal with invariant quantization,

This text resulted from a research conference in arithmetic geometry held at Arizona State University in March 1993. The papers describe important recent advances in arithmetic geometry. Several articles deal with p -adic modular forms of half-integral weight and their roles in arithmetic geometry. The volume also contains material on the Iwasawa theory of cyclotomic fields, elliptic curves, and function fields, including p -adic L -functions and p -adic height pairings. Other articles focus on the inverse Galois problem, fields of definition of abelian varieties with real multiplication, and...

This volume contains the proceedings of a Symposium on Complex Analysis, held at the University of Wisconsin at Madison in June 1991 on the occasion of the retirement of Walter Rudin. During the week of the conference, a group of about two hundred mathematicians from many nations gathered to discuss recent developments in complex analysis and to celebrate Rudin's long and productive career. Among the main subjects covered are applications of complex analysis to operator theory, polynomial convexity, holomorphic mappings, boundary behaviour of holomorphic functions, function theory on the unit...

Presents research and survey articles on various topics in ergodic theory. The book is suitable for graduate students and researchers interested in these and related areas.

Based on talks delivered by plenary speakers at a conference on Harmonic Analysis and Ergodic Theory (DePaul University, Chicago, December 2-4, 2005), this book presents articles that are devoted to ergodic theory and to harmonic analysis. It covers topics

Contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). This title focuses on interpolation theory in its broadest sense, with special attention to its applications to anal

Experimental Mathematics is a structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns. This title represents the A

This collection of invited lectures reflects the state-of-the-art in this branch of mathematics and mathematical physics. This is a self-contained book on modern quantum field theory in the context of cohomological methods and the geometry of nonlinear PDEs.