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The Isoperimetric Problem with Density

March 26, 2018, 3:00 pm - 4:00 pm
Location Science Hall - 102 the Sokol Room
Posted InCollege of Science and Mathematics
Mathematical Sciences Seminar TypeDepartment Colloquium

Frank Morgan, Williams College, presents their seminar.

About the Seminar

The Ancient Greeks proved the circle the least-perimeter enclosure of given area. For thousands of years new versions of this "isoperimetric problem" have had applications throughout mathematics and beyond. Recent applications, including Perelman's proof of the Poincaré Conjecture, require that the ambient space carry a density that weights both perimeter and area. We discuss some open problems and recent results, some by undergraduates. No prerequisites, students welcome.