**Lectures on Shimura Varieties**

by A. Genestier, B.C. Ngo

2006**Number of pages**: 50

**Description**:

The main goal of these lectures will be to explain the representability of moduli space abelian varieties with polarization, endomorphism and level structure, due to Mumford and the description of the set of its points over a finite field, due to Kottwitz.

Download or read it online for free here:

**Download link**

(400KB, PDF)

## Similar books

**Comments and topics on Smarandache notions and problems**

by

**Kenichiro Kashihara**-

**Erhus University Press**

An examination of some of the problems posed by Florentin Smarandache. The problems are from different areas, such as sequences, primes and other aspects of number theory. The problems are solved in the book, or the author raises new questions.

(

**8302**views)

**Predicative Arithmetic**

by

**Edward Nelson**-

**Princeton Univ Pr**

The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.

(

**12665**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.

(

**11234**views)

**Modular Forms, Hecke Operators, and Modular Abelian Varieties**

by

**Kenneth A. Ribet, William A. Stein**-

**University of Washington**

Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences...

(

**5489**views)