Title: Arithmetic Algebraic Geometry (IAS/Park City Mathematics, 9)
Publisher: American Mathematical Society, IAS/Park City Mathematics Institute
Publication Date: 2008
Language: English
ISBN 10: 0821844482
ISBN 13: 9780821844489
Binding: Soft cover
Condition: Very good

About this title

Synopsis

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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