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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: The Lévy-Gromov Isoperimetric Inequality

Presented by Samuel Borza, Université de Mons/Durham University

16 March 2017 13:00 in CM221

The isoperimetric inequalities are mathematical responses to centuries-old problems. For example, the Ancients already knew that to construct a surface-maximal city while having a limited amount of resources for the ramparts, they had to give a circular shape to the fortifications. Mathematically well-formulated, this is the essence of all isoperimetric inequalities, see https://en.wikipedia.org/wiki/Isoperimetric_inequality

In this talk, we will explore the famous Levy-Gromov isoperimetric inequality, which is a generalisation of this problem to a compact Riemannian manifold with some curvature assumptions. We will follow Gromov’s proof dating back to 1986 and give some physical and mathematical applications.

This talk will be accessible to a wide audience and to students.

Contact mark.a.powell@durham.ac.uk or andrew.lobb@durham.ac.uk or wilhelm.klingenberg@durham.ac.uk for more information