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
Introduction to Shimura Varietiesby J.S. Milne
This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.
(10478 views)
Essays on the Theory of Numbersby Richard Dedekind - The Open Court Publishing
This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.
(14886 views)
Pluckings from the tree of Smarandache: Sequences and functionsby Charles Ashbacher - American Research Press
The third book in a series exploring the set of problems called Smarandache Notions. This work delves more deeply into the mathematics of the problems, the level of difficulty here will be somewhat higher than that of the previous books.
(18614 views)
Langlands Correspondence for Loop Groupsby 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.
(11020 views)