The Kähler-Ricci flow on compact Kähler manifolds

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 R3, the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace–Beltrami operators.
Original languageEnglish (US)
Title of host publicationGeometric analysis
EditorsHubert L Bray, Greg Galloway, Rafe Mazzeo, Natasa Sesum
PublisherAMS and IAS/Park City Mathematics Institute
Number of pages56
ISBN (Print)978-1470423131
StatePublished - 2016

Publication series

NameIAS/Park City Mathematics Series


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