Lee Murphy, University of Rochester
2:30 PM - 3:30 PM
The Jordan Curve Theorem is a well-known theorem that states that a simple closed curve in the plane separates the plane into a region inside of the curve and a region outside of the curve. Using the toolbox of differential topology which includes things like Sard’s Theorem and Intersection Theory modulo 2, we generalize this result to submanifolds of codimension one as well as develop a test to determine in which region a random point lies.
Event contact: hazel dot mcknight at rochester dot edu