This two week summer graduate school is a collaboration between MSRI and the IACM-FORTH Institute in Crete. The purpose of the school is to introduce graduate students to some of the most important geometric evolution equations.
This is an area of geometric analysis that lies at the interface of differential geometry and partial differential equations. The lectures will begin with an introduction to nonlinear diffusion equations and continue with classical results on the Ricci Flow, the Mean curvature flow and other fully non-linear extrinsic flows. The lectures will conclude with recent developments related to the study of singularities and ancient solutions. There will be ample time for problem and research discussions between participants of all levels.
Students are expected to have a basic (advanced undergraduate or beginning graduate) background on elliptic and parabolic partial equations and Classical Riemannian Geometry. More precisely the students are expected to have the following background:
A basic course on Partial Differential Equations such as: L.C. Evans, Partial Differential Equations, Chapters 2 and 5-7
Due to the small number of students supported by MSRI, only one student per institution will be funded by MSRI. This summer graduate school is supported by the Stavros Niarchos Foundation.
National and Kapodistrian University of Athens (University of Athens)
Columbia University
Columbia University
Columbia University
University of TÃ¼bingen
Columbia University
Rutgers University
University of Tennessee
University of Toronto
Massachusetts Institute of Technology
University of Athens
Students from US Academic Institutions need to be nominated through MSRI, see http://www.msri.org/web/msri/scientific/workshops/summer-graduate-school
Students from European Institutions need to apply through IACM-FORTH, see Online Application
Students from Greek Institutions are especially encouraged to apply. While the school is aimed for graduate students, a few especially advanced undergraduate students from Greek Universities (only) will be considered as well.
Hotel accommodations and/or lunch at the Cultural Center will be provided to qualified applicants. Please indicate your interest.