**Harmonic Analysis, the Trace Formula, and Shimura Varieties**

by J. Arthur, D. Ellwood, R. Kottwitz

**Publisher**: American Mathematical Society 2005**ISBN/ASIN**: 082183844X**ISBN-13**: 9780821838440**Number of pages**: 706

**Description**:

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.

Download or read it online for free here:

**Download link**

(4.8MB, PDF)

## Similar books

**An Introduction to the Smarandache Function**

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.

(

**8630**views)

**Arithmetic Duality Theorems**

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.

(

**11825**views)

**Geometry of Numbers with Applications to Number Theory**

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.

(

**5932**views)

**Langlands Correspondence for Loop Groups**

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.

(

**5929**views)