Logo

Mathematical Sciences Research Institute

Home » Clay Mathematics Institute 2005 Summer School Ricci Flow, 3 Manifolds And Geometry

Summer Graduate School

Clay Mathematics Institute 2005 Summer School Ricci Flow, 3 Manifolds And Geometry June 20, 2005 - July 15, 2005
Organizers Gang Tian, John Lott, John Morgan, Bennett Chow, Tobias Colding, Jim Carlson, David Ellwood, Hugo Rossi
Lecturer(s) No Lecturers Assigned Yet.
Speaker(s)

Show List of Speakers

Description Overview Clay Mathematics Institute logoThe Clay Mathematics Institute will hold its 2005 summer school at the Mathematical Sciences Research Institute (MSRI) in Berkeley, California. Designed for graduate students and mathematicians within five years of their Ph.D., the program is organized around Ricci Flow and the Geometrization of 3–manifolds, particularly, the recent work of Perelman. The school will consist of three weeks of foundational courses and one week of mini-courses focusing on more advanced topics and applications. Perelman's work builds on earlier work of Thurston and Hamilton in a deep and original way. The aim of the school is to provide a comprehensive introduction to these exciting areas as well as the recent developments due to Perelman. Topics covered will include an introduction to Geometrization (3–dimensional geometries, prime decomposition of 3–manifolds, incompressible tori, Thurston's geometrization conjecture on 3–manifolds), Ricci Flow (both geometric and analytic aspects), Minimal Surfaces and various fundamental results in topology and differential geometry used in the work of Perelman. We will also have a course dedicated to Perelman's work on general Ricci Flow (Entropy functional of Perelman and its local form, Non-collapsing theorem, Perelman's reduced volume and applications), as well as a course that outlines some more advanced results and applications in 3–dimensions (analysis of large curvature part of Ricci flow solutions, Ricci flow with surgery, basic properties of solutions with surgery, long time behavior of solutions, applications to geometrization). Application Information Applicants who are nominees of academic sponsors of MSRI will be funded by MSRI for the course given in first three weeks, subject to acceptance by the CMI selection committee. Thus, nominee applicants must send their completed application form and required documents to CMI by February 28, 2005. The application form, can be found at the CMI web page . Applications will be accepted by mail or fax. Mailing address: Clay Mathematics Institute One Bow Street, 4th Floor Cambridge, MA 02138 USA Fax: 617-995-2660

Schedule
Show All Collapse
Jun 20, 2005
Monday
09:15 AM - 10:30 AM
  Ricci Flow I
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology I
John Morgan (Columbia University)
Jun 21, 2005
Tuesday
09:15 AM - 10:30 AM
  Ricci Flow I
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology I
John Morgan (Columbia University)
Jun 22, 2005
Wednesday
09:15 AM - 10:30 AM
  Ricci Flow I
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology I
John Morgan (Columbia University)
Jun 23, 2005
Thursday
09:15 AM - 10:30 AM
  Ricci Flow I
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology I
John Morgan (Columbia University)
Jun 24, 2005
Friday
09:15 AM - 10:30 AM
  Ricci Flow I
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology I
John Morgan (Columbia University)
Jun 27, 2005
Monday
09:15 AM - 10:30 AM
  Ricci Flow II
Bennett Chow (University of California, San Diego)
11:00 AM - 12:15 PM
  Perelman's Work on Ricci Flow I
Bruce Kleiner (New York University, Courant Institute)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology II
Jeff Cheeger (New York University, Courant Institute)
Jun 28, 2005
Tuesday
09:15 AM - 10:30 AM
  Ricci Flow II
Bennett Chow (University of California, San Diego)
11:00 AM - 12:15 PM
  Perelman's Work on Ricci Flow I
Bruce Kleiner (New York University, Courant Institute)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology II
Jeff Cheeger (New York University, Courant Institute)
Jun 29, 2005
Wednesday
09:15 AM - 10:30 AM
  Ricci Flow II
Bennett Chow (University of California, San Diego)
11:00 AM - 12:15 PM
  Perelman's Work on Ricci Flow I
Bruce Kleiner (New York University, Courant Institute)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology II
Jeff Cheeger (New York University, Courant Institute)
Jun 30, 2005
Thursday
09:15 AM - 10:30 AM
  Ricci Flow II
Bennett Chow (University of California, San Diego)
11:00 AM - 12:15 PM
  Perelman's Work on Ricci Flow I
Bruce Kleiner (New York University, Courant Institute)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology II
Jeff Cheeger (New York University, Courant Institute)
Jul 01, 2005
Friday
09:15 AM - 10:30 AM
  Ricci Flow II
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Topics In Geometry and Topology II
Jeff Cheeger (New York University, Courant Institute)
Jul 04, 2005
Monday
09:15 AM - 10:30 AM
  Ricci Flow III
Bennett Chow (University of California, San Diego)
11:00 AM - 12:15 PM
  Perelman's Work on Ricci Flow II
Bruce Kleiner (New York University, Courant Institute)
Jul 05, 2005
Tuesday
09:15 AM - 10:30 AM
  Ricci Flow III
Bennett Chow (University of California, San Diego)
11:00 AM - 12:15 PM
  Perelman's Work on Ricci Flow II
Bruce Kleiner (New York University, Courant Institute)
04:00 PM - 05:15 PM
  Minimal Surfaces
Tobias Colding (Massachusetts Institute of Technology)
Jul 06, 2005
Wednesday
09:15 AM - 10:30 AM
  Ricci Flow III
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Minimal Surfaces
David Hoffman (Stanford University)
Jul 07, 2005
Thursday
09:15 AM - 10:30 AM
  Ricci Flow III
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Minimal Surfaces
Tobias Colding (Massachusetts Institute of Technology)
Jul 08, 2005
Friday
09:15 AM - 10:30 AM
  Ricci Flow III
Bennett Chow (University of California, San Diego)
04:00 PM - 05:15 PM
  Minimal Surfaces
Gabriele La Nave
Jul 11, 2005
Monday
09:15 AM - 10:30 AM
  Standard Solutions and Uniqueness of Ricci Flow
Peng Lu
11:00 AM - 12:15 PM
  Langrangian Mean Curvature Flow
Andre Neves (Imperial College, London)
Jul 12, 2005
Tuesday
09:15 AM - 10:30 AM
  Standard Solutions and Uniqueness of Ricci Flow
Peng Lu
11:00 AM - 12:15 PM
  Langrangian Mean Curvature Flow
Andre Neves (Imperial College, London)
Jul 13, 2005
Wednesday
09:15 AM - 10:30 AM
  Standard Solutions and Uniqueness of Ricci Flow
Peng Lu
01:00 PM - 02:30 PM
  Kahler Ricci-Flow and Perelman's Curvature.
Gang Tian (Princeton University)
Jul 14, 2005
Thursday
01:00 PM - 02:20 PM
  Kahler Ricci-Flow and Perelman's Curvature.
Gang Tian (Princeton University)
03:15 PM - 05:00 PM
  Kahler Ricci Flow on Non-Impact Manifolds.
Lei Ni (University of California, San Diego)
Jul 15, 2005
Friday
01:00 PM - 02:20 PM
  Kahler Ricci-Flow and Perelman's Curvature.
Gang Tian (Princeton University)
03:15 PM - 05:00 PM
  Kahler Ricci Flow on Non-Impact Manifolds.
Lei Ni (University of California, San Diego)