DMS Graduate Student Seminar

Time: Sep 15, 2021 (03:00 PM)
Location: 236 Parker Hall

Speaker: Dr. Brian Freidin
Title: Free boundary problems and discrete geometric flows


Abstract: What is the shortest path between two sets? Geometric analysis gives a way to describe such paths in terms of a partial differential equation. Approaching the shortest path by a gradient descent is difficult when faced with the subtle boundary condition that the endpoints of the curves must remain in the given sets, so I will describe a semi-discrete approach. Computer simulations and animations lead to some interesting conjectures.