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| Hardcover ISBN: | 978-1-4704-2313-1 |
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| Hardcover ISBN: | 978-1-4704-2313-1 |
| Product Code: | PCMS/22 |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-2881-5 |
| Product Code: | PCMS/22.E |
| List Price: | $112.00 |
| MAA Member Price: | $100.80 |
| AMS Member Price: | $89.60 |
| Hardcover ISBN: | 978-1-4704-2313-1 |
| eBook ISBN: | 978-1-4704-2881-5 |
| Product Code: | PCMS/22.B |
| List Price: | $237.00 $181.00 |
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Book DetailsIAS/Park City Mathematics SeriesVolume: 22; 2016; 456 ppMSC: Primary 53; 35; 83
This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and experienced researchers alike, to a range of the most important areas of geometric analysis. These include: the general issue of geometric evolution, with more detailed lectures on Ricci flow and Kähler-Ricci flow, new progress on the analytic aspects of the Willmore equation as well as an introduction to the recent proof of the Willmore conjecture and new directions in min-max theory for geometric variational problems, the current state of the art regarding minimal surfaces in \(R^3\), the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace–Beltrami operators.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.
ReadershipGraduate students and research mathematicians interested in important topics in geometric analysis.
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Table of Contents
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Chapters
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Heat diffusion in geometry
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Applications of Hamilton’s compactness theorem for Ricci flow
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The Kähler-Ricci flow on compact Kähler manifolds
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Park City lectures on eigenfunctions
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Critical metrics for Riemannian curvature functionals
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Min-max theory and a proof of the Willmore conjecture
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Weak immersions of surfaces with $L^2$-bounded second fundamental form
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Introduction to minimal surface theory
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Additional Material
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Reviews
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It is a fascinating panorama of this highly active and deeply connected subject.
M. Kunzinger, Monatshefte für Mathematik
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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
- Additional Material
- Reviews
- Requests
This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and experienced researchers alike, to a range of the most important areas of geometric analysis. These include: the general issue of geometric evolution, with more detailed lectures on Ricci flow and Kähler-Ricci flow, new progress on the analytic aspects of the Willmore equation as well as an introduction to the recent proof of the Willmore conjecture and new directions in min-max theory for geometric variational problems, the current state of the art regarding minimal surfaces in \(R^3\), the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace–Beltrami operators.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.
Graduate students and research mathematicians interested in important topics in geometric analysis.
-
Chapters
-
Heat diffusion in geometry
-
Applications of Hamilton’s compactness theorem for Ricci flow
-
The Kähler-Ricci flow on compact Kähler manifolds
-
Park City lectures on eigenfunctions
-
Critical metrics for Riemannian curvature functionals
-
Min-max theory and a proof of the Willmore conjecture
-
Weak immersions of surfaces with $L^2$-bounded second fundamental form
-
Introduction to minimal surface theory
-
It is a fascinating panorama of this highly active and deeply connected subject.
M. Kunzinger, Monatshefte für Mathematik
