**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

**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.

(

**5153**views)

**On Some of Smarandache's Problems**

by

**Krassimir Atanassov**-

**Erhus Univ Pr**

A collection of 27 Smarandache's problems which the autor solved by 1999. 22 problems are related to different sequences, 4 problems are proved, modifications of two problems are formulated, and counterexamples to two of the problems are constructed.

(

**7232**views)

**Elliptic Curves over Function Fields**

by

**Douglas Ulmer**-

**arXiv**

The focus is on elliptic curves over function fields over finite fields. We explain the main classical results on the Birch and Swinnerton-Dyer conjecture in this context and its connection to the Tate conjecture about divisors on surfaces.

(

**7020**views)

**Geometric Theorems and Arithmetic Functions**

by

**Jozsef Sandor**-

**American Research Press**

Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.

(

**12338**views)