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Explore a comprehensive survey of recent collaborative works on the geometry of scalar curvature in this 44-minute lecture by Yuguang Shi from the University of Beijing. Delve into Gromov's fill-in problem and its profound connection to quasi-local masses in General Relativity. Examine Llarull type theorems on complete manifolds with positive scalar curvature. Gain insights into the global effects of positive scalar curvature through this advanced mathematical discussion presented at the Institut des Hautes Etudes Scientifiques (IHES).
