Scalar Curvature Rigidity and Extremality in Dimension 4

Explore the Finsler--Thorpe trick for curvature operators in dimension 4 and its application in combination with twisted spinor methods to demonstrate area-extremality for scalar curvature in compact 4-manifolds. Delve into a 46-minute lecture that examines how these techniques prove local area-extremality in regions of positive sectional curvature on 4-manifolds. Learn about the joint work of Renato Bettiol from Lehman College, CUNY, and McFeely Jackson Goodman from UC Berkeley, as presented at the Institut des Hautes Etudes Scientifiques (IHES).

Renato Bettiol - Scalar curvature rigidity and extremality in dimension 4