Ricci flow on manifolds with positive isotropic curvature in all dimensions

Abstract: I will explain how to extend Brendle's classification of manifolds with positive isotropic curvature to all dimensions. This result also completes the classification of uniformly positive isotropic curvature on complete non-compact κ-noncollapsed ancient solutions and gradient shrinking Ricci solitons. The proof constructs pinching cones in all dimensions, refining and extending Brendle's results. I will explain how this construction is performed with the aid of Mathematica, and with no involvement of LLMs. This is joint work with Simon Brendle.

differential geometry

Audience: researchers in the topic

CUNY Geometric Analysis Seminar