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Mass partitions revisited using Stiefel manifolds with Pablo Soberon

This is a past event.

Thursday, March 16, 2023 at 3:45pm to 4:45pm

DM - Deuxieme Maison, 409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199

Abstract:  In a mass partition problem, we wish to split fairly a family of measures in R^d according to some geometric constraints.  For example, we may want to split R^d into two pieces using a single hyperplane, or into k convex pieces, and want each piece to have the same size in each given measure.  Given a way to split R^d, we are interested in the maximum number of measures we can always split fairly.  In this talk, we will describe how the use of topological properties of Stiefel manifolds allows us to prove old and new results in the area, simplifying significantly the technical machinery needed to solve these problems.

Dial-In Information

Zoom meeting ID: 789-978-2410

Passcode: FIU2023

Event Type

Academics, Lectures & conferences

Audience

Students, Faculty & Staff, Alumni

Tags

Colloquia

Department
Department of Mathematics and Statistics
Hashtag

#colloquia

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