View abstract

Invited talk

Thursday, July 22, 12:15 ~ 13:15 UTC-3

The Waist Inequality and Positive Scalar Curvature

Davi Maximo

University of Pennsylvania, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The topology of three-manifolds with positive scalar curvature has been (mostly) known since the solution of the Poincare conjecture by Perelman. Indeed, they consist of connected sums of spherical space forms and S^2 x S^1's. In spite of this, their "shape" remains unknown and mysterious. Since a lower bound of scalar curvature can be preserved by a codimension two surgery, one may wonder about a description of the shape of such manifolds based on a codimension two data (in this case, 1-dimensional manifolds). In this talk, I will show results elucidating this question for closed three-manifolds.

View abstract PDF