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Differential Geometry January 11, 2016 to May 20, 2016
Organizers Tobias Colding (Massachusetts Institute of Technology), Simon Donaldson (Imperial College, London), John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of California, Irvine)
Differential geometry is a subject with both deep roots and recent advances. Many old problems in the field have recently been solved, such as the Poincaré and geometrization conjectures by Perelman, the quarter pinching conjecture by Brendle-Schoen, the Lawson Conjecture by Brendle, and the Willmore Conjecture by Marques-Neves. The solutions of these problems have introduced a wealth of new techniques into the field. This semester-long program will focus on the following main themes: (1) Einstein metrics and generalizations, (2) Complex differential geometry, (3) Spaces with curvature bounded from below, (4) Geometric flows, and particularly on the deep connections between these areas.  
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Programmatic Workshops
January 14, 2016 - January 15, 2016 Connections for Women: Differential Geometry
January 18, 2016 - January 22, 2016 Introductory Workshop: Modern Riemannian Geometry
March 21, 2016 - March 25, 2016 Kähler Geometry, Einstein Metrics, and Generalizations
May 02, 2016 - May 06, 2016 Geometric Flows in Riemannian and Complex Geometry