✦ LIBER ✦

Arithmetic algebraic geometry

✍ Scribed by Brian David Conrad, Karl Rubin

Book ID: 127454382
Publisher: American Mathematical Society; Institute for Advanced Study
Year: 2001
Tongue: English
Weight: 7 MB
Series: IAS/Park City mathematics series 9
Category: Library
City: Providence, R.I. :, [Princeton, N.J.]
ISBN-13: 9780821821732
ISSN: 1079-5634

No coin nor oath required. For personal study only.

✦ 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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