Uniqueness of Bryant soliton


Chih-Wei Chen

10:30:00 - 12:00:00

R201 , Astronomy and Mathematics Building

Perelman [1] claimed that Bryant soliton is the unique 3D κ-noncollapsed steady gradient Ricci soliton with bounded positive curvature. A decade later, Simon Brendle [2] derived a proof of this claim. I will explain Brendle’s proof and interpret his ideas inside.

References: [1] G. Perelman, The entropy formula for the Ricci flow and its geometric applications, [2] S. Brendle, Rotational symmetry of self-similar solutions to the Ricci flow, to appear in Invent. Math.