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
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.Â
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, Brueâ€™ and Pasqualetto, where we extended De Giorgiâ€™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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