Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Singular metrics with positive scalar curvature and RCD
The positive mass theorem of Schoen-Yau and Witten is one of the most important results about scalar curvature. Various motivations lead to consideration of singular metrics.
I will first review these and present our recent work with Yukai Sun and Changliang Wang on positive mass theorem and Geroch type theorem for isolated conical singularity. Then I will discuss our very recent work (done at SLMath!) on the connection with RCD spaces, in particular confirming Schoen's conjecture for isolated singularity on spaces which are connected sum with the torus. This part of the work is joint with Changliang Wang, Lihe Wang, and Guofang Wei.
No Notes/Supplements Uploaded