Math MSc/PhD Research Seminar on Nov 7,8,9,11 3.30 pm, Seminar Hall Maximal existence time for K\"{a}hler-Ricci flow Akashdeep Dey Chennai Mathematical Institute. 09-11-16 Abstract Ricci flow, introduced by Richard Hamilton has been found to be a very powerful tool for solving many problems in Riemannian geometry (including Poncar\'{e} conjecture). But very little is known about behavior of Ricci flow on a general Riemannian manifold of dimension greater than 4. However, if one considers Ricci flow on K\"{a}hler manifold, much more can be said. I will talk about a theorem which characterizes the maximal existence time for K\"{a}hler-Ricci flow in terms of simple cohomology condition of the initial metric.
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