Harmonic Analysis, the Trace Formula, and Shimura Varieties
by J. Arthur, D. Ellwood, R. Kottwitz
Publisher: American Mathematical Society 2005
Number of pages: 706
The goal of this volume is to provide an entry point into the exciting and challenging field of the modern theory of automorphic forms. It is directed on the one hand at graduate students and professional mathematicians who would like to work in the area.
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by Charles Ashbacher - Erhus Univ Pr
In the 1970's a Rumanian mathematician Florentin Smarandache created a new function in number theory, which consequences encompass many areas of mathematics.The purpose of this text is to examine some of those consequences.
by J.S. Milne - BookSurge Publishing
This book, intended for research mathematicians, proves the duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry, for example, in the proof of Fermat's Last Theorem.
by Pete L. Clark - University of Georgia
The goal is to find and explore open questions in both geometry of numbers -- e.g. Lattice Point Enumerators, the Ehrhart-Polynomial, Minkowski's Convex Body Theorems, Minkowski-Hlawka Theorem, ... -- and its applications to number theory.
by Edward Frenkel - Cambridge University Press
This book provides a review of an important aspect of the geometric Langlands program - the role of representation theory of affine Kac-Moody algebras. It provides introductions to such notions as vertex algebras, the Langlands dual group, etc.