Softcover ISBN: | 978-0-8218-4448-9 |
Product Code: | PCMS/9.S |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
eBook ISBN: | 978-1-4704-3908-8 |
Product Code: | PCMS/9.E |
List Price: | $112.00 |
MAA Member Price: | $100.80 |
AMS Member Price: | $89.60 |
Softcover ISBN: | 978-0-8218-4448-9 |
eBook: ISBN: | 978-1-4704-3908-8 |
Product Code: | PCMS/9.S.B |
List Price: | $237.00 $181.00 |
MAA Member Price: | $213.30 $162.90 |
AMS Member Price: | $189.60 $144.80 |
Softcover ISBN: | 978-0-8218-4448-9 |
Product Code: | PCMS/9.S |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
eBook ISBN: | 978-1-4704-3908-8 |
Product Code: | PCMS/9.E |
List Price: | $112.00 |
MAA Member Price: | $100.80 |
AMS Member Price: | $89.60 |
Softcover ISBN: | 978-0-8218-4448-9 |
eBook ISBN: | 978-1-4704-3908-8 |
Product Code: | PCMS/9.S.B |
List Price: | $237.00 $181.00 |
MAA Member Price: | $213.30 $162.90 |
AMS Member Price: | $189.60 $144.80 |
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Book DetailsIAS/Park City Mathematics SeriesVolume: 9; 2001; 569 ppMSC: Primary 11
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.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.
ReadershipGraduate students and research mathematicians interested in arithmetic algebraic geometry.
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Table of Contents
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Chapters
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Introduction
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Elliptic curves, modular forms, and applications
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Open questions in arithmetic algebraic geometry
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Lectures on Serre’s conjectures
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Deformations of Galois representations
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Introduction to Iwasawa theory for elliptic curves
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Galois cohomology
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The arithmetic of modular forms
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Arithmetic of certain Calabi-Yau varieties and mirror symmetry
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Reviews
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The book ... gives a good overview of the subject and proceeds naturally to more technical aspects of the theory. An attractive feature of the book is the presence of many exercises for students.
European Mathematical Society Newsletter
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
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.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.
Graduate students and research mathematicians interested in arithmetic algebraic geometry.
-
Chapters
-
Introduction
-
Elliptic curves, modular forms, and applications
-
Open questions in arithmetic algebraic geometry
-
Lectures on Serre’s conjectures
-
Deformations of Galois representations
-
Introduction to Iwasawa theory for elliptic curves
-
Galois cohomology
-
The arithmetic of modular forms
-
Arithmetic of certain Calabi-Yau varieties and mirror symmetry
-
The book ... gives a good overview of the subject and proceeds naturally to more technical aspects of the theory. An attractive feature of the book is the presence of many exercises for students.
European Mathematical Society Newsletter