Mean convex mean curvature flow with free boundary

Jonathan Zhu, Princeton University

Please note the date has been changed to June 11th


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In the class of mean convex surfaces, the mean curvature flow provides a useful geometric tool, owing its power to the regularity and structure theory established by White and with subsequent developments by Haslhofer, Kleiner and Hershkovits. In joint work with Edelen, Haslhofer and Ivaki, we generalise this theory to the free boundary setting. We will discuss the analytic and geometric issues that arise in the passage to free boundary as well as further developments in progress.