Scalar Curvature Rigidity and Extremality in Dimension 4
Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Power BI Fundamentals - Create visualizations and dashboards from scratch
Google AI Professional Certificate - Learn AI Skills That Get You Hired
Overview
Google, IBM & Meta Certificates — All 10,000+ Courses at 40% Off
One annual plan covers every course and certificate on Coursera. 40% off for a limited time.
Get Full Access
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).
Syllabus
Renato Bettiol - Scalar curvature rigidity and extremality in dimension 4
Taught by
Institut des Hautes Etudes Scientifiques (IHES)