Staff -YOKOTA, Takumi-
Name YOKOTA, Takumi
Position Assistant Professor
E-Mail takumiy (email address: add @kurims.kyoto-u.ac.jp)
Takumi Yokota is working on the Ricci flow and Alexandrov spaces. These are two of the main tools in Perelman's proof of the geometrization conjecture for 3-dimensional closed manifolds. In particular, he is interested in geometric aspects of these theories. Some of his contributions are gap theorems for ancient solutions to the Ricci flow equation and gradient shrinking Ricci solitons and the unique existence of the barycenter of probability measures on CAT(1)-spaces of small radii.