Title: Circle bundles with PSC over large manifolds Abstract: In his seminal work on metric inequalities for scalar curvature, Gromov asked whether total spaces of circles bundles over enlargeable manifolds can […]
Title : Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains Abstract: I will discuss a comparison and rigidity result of scalar curvature and scaled mean curvature on the […]
Title: Non-uniqueness of mean curvature flow Abstract: The smooth mean curvature flow often develops singularities, making weak solutions essential for extending the flow beyond singular times, as well as having […]
Title: Finite-Time Singularities of the Ricci Flow on Kähler SurfacesAbstract: By work of Song-Weinkove, it is understood that the Ricci flow on any Kähler surface can canonically be continued through […]
Abstract - Lecture 3 (lecture 2 will take place on March 24th at the Analysis & PDE seminar, see https://sites.google.com/view/hopkins-pde-seminar for details)In this series of lectures, we will explore viscosity solutions to fully […]