Positive Mass Theorem and Positive Scalar Curvature with Singularities

Explore a 48-minute lecture on the positive mass theorem and its connection to positive scalar curvature metrics, with a focus on singular metrics. Survey recent developments in the field and delve into new research on isolated conical singularity. Learn about the significance of the Schoen-Yau and Witten positive mass theorem in scalar curvature studies. Gain insights from speaker Dai Xianzhe of UCSB as he presents collaborative work with Yukai Sun and Changliang Wang. Discover how various motivations have led to the consideration of singular metrics in this important area of mathematical physics.

Dai Xianzhe - Positive mass theorem and positive scalar curvature in the presence of a singularity