Smoothing by Ricci-DeTurck Flow and Applications to Scalar Curvature

Explore the existence theory of Ricci-DeTurck flow with non-smooth initial metrics in this advanced mathematics lecture. Delve into the concept of Ricci Flow with a fixed gauge and discover its applications in studying rigidity problems in scalar curvature for metrics that are not entirely smooth. Learn about the collaborative research findings of Lee, Chu, Tam, and Huang as they apply geometric flow techniques to complex mathematical challenges in differential geometry and topology.