Mathematics and Statistics Colloquium
The classic Plateau's problem asks for a surface of vanishing mean curvature whose boundary is a given space curve. (The problem is designed to model the behavior of a soap film attached to a wire frame.) The talk will explore "simplest possible" analogues of this problem for other kinds of geometry, with an initial discussion of a computer image recognition problem to provide motivation. The talk will make use of 2012 REU work by Aviva Siegel.