Geometric Analysis Learning Seminar
Friday March 9th, 2018
Time: 4:00 PM - 6:00 PM
Title: Ricci flow with surgery on 4-manifolds with positive isotropic curvature.
Speaker: Jean-François Arbour, Stony Brook University
Location: P-131 Math Tower
Positive Isotropic Curvature (PIC) is a condition on the curvature tensor of a Riemannian manifold introduced in 88 by Micaleff and Moore. They used it to give a proof of the sharp pointwise (1/4)-pinched sphere theorem. In a seminal paper in 97, Hamilton introduced Ricci flow with surgery and obtained a classification result for closed 4-manifolds admitting a metric with PIC. In this talk, I will follow B.L. Chen and X. Zhu's 2006 paper which is an exposition of Perelman's work on Ricci flow with surgery in the context of closed 4-manifolds with PIC, to get to Hamilton's classification.