Introduction to Shimura Varieties
by J.S. Milne
2004
Number of pages: 149
Description:
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.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Collections of Problems on Smarandache Notionsby Charles Ashbacher - Erhus University Press
This text deals with some advanced consequences of the Smarandache function. The reading of this book is a form of mindjoining, where the author tries to create the opportunity for a shared experience of an adventure.
(19713 views)
Lectures on Shimura Varietiesby A. Genestier, B.C. Ngo
The goal of these lectures is 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.
(12189 views)
Topics in the Theory of Quadratic Residuesby Steve Wright - arXiv
Beginning with Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study ...
(10756 views)
Harmonic Analysis, the Trace Formula, and Shimura Varietiesby J. Arthur, D. Ellwood, R. Kottwitz - American Mathematical Society
The goal of this volume is to provide an entry point into the 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.
(15400 views)