Logo

Lectures on Shimura Varieties

Lectures on Shimura Varieties
by


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

Book cover: Langlands Correspondence for Loop GroupsLanglands Correspondence for Loop Groups
by - 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.
(10112 views)
Book cover: Geometry of Numbers with Applications to Number TheoryGeometry of Numbers with Applications to Number Theory
by - 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.
(10120 views)
Book cover: Elliptic Curves over Function FieldsElliptic Curves over Function Fields
by - 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.
(11662 views)
Book cover: The Smarandache FunctionThe Smarandache Function
by - Erhus University Press
The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.
(12614 views)