Title: The Waist Inequality and Positive Scalar Curvature
Speaker: Davi Maximo
Affiliation: University of Pennsylvania, USA

Abstract:
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.

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