The City College of New YorkCCNY
Department of Mathematics
Division of Science

Filling multiples of embedded curves

Mathematics Colloquium

Time and place

1 PM on Thursday, October 23rd, 2014; NAC 6/113

Robert Young (NYU)

Abstract

One of the motivating questions of geometric measure theory involves filling area, the minimal area of an oriented surface whose boundary is a given curve. There are still open questions about filling area even in the classical case of curves in R^n. For example, filling a curve with an oriented surface can sometimes be "cheaper by the dozen" --- L. C. Young constructed a smooth curve drawn on a projective plane in R^n which is only about 1.3 times as hard to fill twice as it is to fill once and asked whether this ratio can be bounded below. We will answer this question and pose some open questions about surfaces embedded in R^n.

The City College of New YorkCUNY
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