Abstract: In this talk, we will discuss recent applications of variational and parabolic methods to control the geometry and topology of manifolds with positive scalar curvature in dimensions three and four.

Brief bio: Davi Maximo is an Assistant Professor at the University of Pennsylvania. He obtained his PhD from the University of Texas at Austin under the supervision of Dan Knopf. Before UPenn, he was a postdoc at Stanford University. He is interested in nonlinear problems in differential geometry, partial differential equations, and geometric topology.

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