The space of positive scalar curvature metrics on the three-sphere

The space of positive scalar curvature metrics on the three-sphere

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Fernando Coda Marques, Instituto Nacional de Matem√°tica Pura e Aplicada, Brasil
Fine Hall 314

In this talk we will discuss a proof of the path-connectedness of the space of positive scalar curvature metrics on the three-sphere. The proof uses the Ricci flow with surgery and the connected sum construction of Gromov and Lawson. The work of Perelman on Hamilton's Ricci flow is fundamental.