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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.


Analysis and/of PDE: Structure theory of spaces with lower Ricci bounds towards codimension one

Presented by Daniele Semola, Oxford
21 October 2020 12:00 in zoom

The theory of metric measure spaces verifying the Riemannian-Curvature-Dimension condition RCD(K,N) has attracted a lot of interest in the last years. 

They can be thought as a non smooth counterpart of the class of Riemannian manifolds with Ricci curvature bounded from below by K and dimension bounded from above by N.

So far we have reached a good understanding of their structure up to negligible sets and it seems natural to push the study further, up to codimension one.

In this talk I will outline some recent developments about the structure of boundaries of sets of finite perimeter obtained in joint works with Ambrosio, Brue’ and Pasqualetto, where we extended De Giorgi’s celebrated theorem to this framework. The results are expected to be useful to improve our knowledge on the fine structure of these spaces and on their global shape.

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