Logo

Elliptic Curves over Function Fields

Small book cover: Elliptic Curves over Function Fields

Elliptic Curves over Function Fields
by

Publisher: arXiv
Number of pages: 72

Description:
These are the notes from a course of five lectures at the 2009 Park City Math Institute. The focus is on elliptic curves over function fields over finite fields. In the first three lectures, we explain the main classical results (mainly due to Tate) on the Birch and Swinnerton-Dyer conjecture in this context and its connection to the Tate conjecture about divisors on surfaces.

Home page url

Download or read it online for free here:
Download link
(670KB, PDF)

Similar books

Book cover: On Some of Smarandache's ProblemsOn Some of Smarandache's Problems
by - 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.
(8759 views)
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.
(6515 views)
Book cover: Pluckings from the tree of Smarandache: Sequences and functionsPluckings from the tree of Smarandache: Sequences and functions
by - 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.
(14094 views)
Book cover: Harmonic Analysis, the Trace Formula, and Shimura VarietiesHarmonic Analysis, the Trace Formula, and Shimura Varieties
by - 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.
(8735 views)