Speaker: Alina Stancu (Concordia)

Title:  On a curvature flow and some of its applications

Abstract: We study a version of Ben Andrews’ curvature flow on convex hypersurfaces in R^n whose pointwise speed in the direction of the affine normal is determined by a time-independent weight with nice properties. We show that for each smooth, strictly convex initial hypersurface the flow exists until it develops a point singularity and the, properly rescaled, solutions to the flow converge smoothly to a certain class of hypersurfaces. We will discuss some applications of this convergence to geometric inequalities.