Math Department Colloquium Speaker, Dr. Alex Mramor, University of Oklahoma

Dr. Alex Mramor, University of Oklahoma  (https://math.ou.edu/~amramor/).

 

Title: The mean curvature flow, singularities, and minimal surfaces Abstract: In this talk I’ll give a brief but gentle introduction to some guiding problems in geometry, motivating the mean curvature flow. An important limiting factor in applying the mean curvature flow is that it often develops singularities which can potentially be quite exotic, but there have been many recent advances towards ruling out the worst behavior in important cases. After saying a bit about these, I’ll then discuss some recent joint work with Ao Sun on using the mean curvature flow to produce minimal surfaces.