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Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


Geometry and Topology Seminar: Torus actions on manifolds with positive intermediate Ricci curvature

Presented by Lawrence Mouillé, Rice University
8 October 2020 13:05 in Zoom.

A large body of research has been developed to address the following question: "Can we classify closed, positively curved manifolds that have large torus symmetries?" Essential tools in this area include Berger's Killing Field Zero-Set Theorem and Wilking's Connectedness Principle. In this talk, I will address the corresponding question for manifolds with positive k^th-intermediate Ricci curvature. On an n-manifold, this curvature condition interpolates between positive sectional curvature (k = 1) and positive Ricci curvature (k = n - 1). I will show how Berger's result and Wilking's result generalize to positive intermediate Ricci curvature. I will also demonstrate how these tools allow us to obtain topological information for manifolds of positive 2^nd-intermediate Ricci curvature with large torus symmetries.

This will be an online talk. A Zoom invitation will be sent on Wednesday before the seminar.

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