KÄHLER--RICCI FLOW (new results) -- GANG TIAN
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Lecture given by Professor Gang Tian (Princeton University, Beijing University, Massachusetts Institute of Technology) on "New Results on Kähler--Ricci flow". This was recorded at the Banff International Research Station, the conference being Geometric Flows: Recent Developments and Applications (April 2015).
The Kähler--Ricci flow is the Ricci flow for a particular class of metrics. The Ricci flow was used by Perelman to solve the Poincaré conjecture and more generally, Thurston's geometrization conjecture.
Gang Tian supervised my Ph.D. which can be found at https://www.kylebroder.com
This workshop seeks to explore connections between geometric flows and other areas of mathematics and physics. Geometric flows refer to ways in which geometry can be deformed smoothly in time, rather analogous to the way in which the geometry of the surface of a balloon becomes smooth and round as it is inflated with air. Over the last decade-and-a-half, this field has seen amazing mathematical progress, and the number of applications has mushroomed. This workshop will bring together a wide spectrum of mathematicians from within the field, as well as a significant number of physicists working on applications of geometric flows in physics, and numericists whose methods can open up new ways to explore areas not easily accessible otherwise. Our hope is that by facilitating an ongoing dialogue between experts in these subjects, we will be able to enable the transfer of the most recent mathematical knowledge to those working on applications, expose mathematicians to applied problems to encourage and motivate further mathematical advances, and develop new mathematical insights through numerical and other novel techniques.
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