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Common tangents to polytopes and convex bodies

José Alejandro Samper, Pontificia Universidad Católica de Chile
Wednesday, January 26, 2022 - 3:30pm to 5:00pm
Online only via Zoom Link: https://washington.zoom.us/j/91547335974
José Alejandro Samper
José Alejandro Samper

Abstract:

It is well known that two pairs of disjoint circles in the plane have four common tangents. We will explore high dimensional variations of this theorem by considering the topology of the geometric locus of all tangent hyperplanes to a (properly separated) family of convex bodies. We discuss a few old problems and present some new results by formulating a suitable polytopal question.

Based in joint work with F. Castillo and J. Doolittle.

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

Note: This talk will be online-only.

Join Zoom Meeting: https://washington.zoom.us/j/91547335974
Meeting ID: 915 4733 5974

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