ENGLISH

Arithmetic algebraic geometry

By Brian David Conrad , Karl Rubin

Book information

Publisher
American Mathematical Society; Institute for Advanced Study
Year
2001
ISBN
0821821733, 9780821821732
ISSN
1079-5634
LCC
QA242.5 .A73 2001
Open Library ID
OL24877712M
Language
english
Format
PDF
Filesize
7 MB (7772796 bytes)
Series
IAS/Park City mathematics series 9
Pages
577\577
Library
Kolxo3
Orientation
no
Scanned
yes
Time added
2009-07-20 03:45:11

Description

The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.

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