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Scalar Curvature Rigidity and Extremality in Dimension 4

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Differential Geometry Courses Riemannian Geometry Courses Scalar Curvature Courses 4-Manifolds Courses

Course Description

Overview

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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)

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