Watch a General Relativity Workshop lecture exploring the relationship between scalar curvature and boundary geometry in compact manifolds, delivered by UC Irvine's Tin-Yau Tsang. Examine Gromov's proposed dihedral rigidity conjecture and fill-in conjecture, with particular focus on how the spacetime positive mass theorem helps address questions related to initial data sets. Gain insights into advanced mathematical concepts at the intersection of differential geometry and general relativity through this detailed 71-minute presentation from the Harvard CMSA series.
Overview
Syllabus
Tin Yau Tsang | Dihedral rigidity, fill-in and spacetime positive mass theorem
Taught by
Harvard CMSA
Related Courses
-
Gromov's Dihedral Extremality and Rigidity Conjectures and Their Applications - Part 3
-
Another Aspect of Gromov's Conjectures on Scalar Curvature
-
Some Geometric Properties of Spacetime - Lecture 2
-
Rigidity Results for Initial Data Sets Satisfying the Dominant Energy Condition
-
Gromov's Rigidity Theorem for Polytopes with Acute Angles
-
Positive Mass Theorem and Positive Scalar Curvature with Singularities
