UCD School of Mathematics and Statistics Seminars

Maxwell Stolarski

will speak on

Singularities in Mean Curvature Flows

Time: 3:00PM
Date: Tue 6th October 2026
Location: N0.20 - Science North [map]

Further information

Abstract: Mean curvature flows generally develop finite-time singularities. A key question for applications is then to understand when exactly singularities form. Although the 2nd fundamental form detects singularity times, its trace cannot. Indeed, we'll show that, in high dimensions, there are mean curvature flows that develop finite-time singularities while the mean curvature remains uniformly bounded. The proof combines Liouville theorems with a blow-up argument to extend estimates away from the singularity up to the singularity. We'll then discuss recent related results for Lagrangian mean curvature flows in low dimensions (joint with Wei-Bo Su) and some open problems.



https://ucd-ie.zoom.us/j/66619565144

(This talk is part of the Analysis series.)

PDF notice

Return to all seminars