Arithmetic algebraic geometry

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Arithmetic algebraic geometry

Arithmetic algebraic geometry

Name: Arithmetic algebraic geometry
ISBN: 9780821821732

Brian David Conrad, Karl Rubin

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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.

Categorie:

Mathematics

Anno:

2001

Casa editrice:

American Mathematical Society; Institute for Advanced Study

Lingua:

english

Pagine:

577

ISBN 10:

0821821733