Seminar:
Geometric Analysis and Application
Event time:
Friday, October 28, 2022 - 2:00pm
Location:
LOM 215
Speaker:
Aaron Tsz-Kiu Chow
Speaker affiliation:
Columbia University
Event description:
In this talk, we would discuss how to construct a canonical solution to Ricci flow on manifolds with boundary given an arbitrary initial metric. This solution behaves well with respect to natural curvature conditions for Ricci flow on closed manifolds. Our construction has the advantage of preserving various important curvature conditions along the flow under natural assumptions on the boundary. As an application, this produces pleasant topological consequences for manifolds with boundary.