Organised in partnership with the Clay Mathematics Institute




Please note that
School related material
(abstracts, slides/notes as received by lectureres,
and video recording of most School lectures)
can be viewed & downloaded directly from this site,
see list of links on the left of this page, as follows:

- either by clicking on the link "Programme" and scrolling it down
(i.e.  in chronological order),
or
- by clicking on the link "Speakers"
(i.e. sets of lectures grouped by lecturer).

In addition, video recording of lectures is also available on a dedicated playlist on ICTP YouTube Channel:
https://www.youtube.com/watch?v=2msDseBIAeI&list=PLLq_gUfXAnknsg-mI5B1OmZfOuqZls0dK



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The School aims at introducing students both to the basic ideas  and to the most recent breakthroughs in the field of extrinsic curvature flows, a fundamental research direction at the intersection of Analysis and Geometry, with deep connections to the theories of minimal surfaces and of diffusive partial differential equations.

Extrinsic flows have important applications to the geometry of submanifolds, as their study provides an effective strategy for obtaining topological classification results and for proving sharp geometric inequalities.

In a broader context, extrinsic flows arise in describing the dynamics of interfaces in physical and biological sciences, a fact that provides a strong scientific motivation for their mathematical inquiry.

Virtually all the different approaches to mean curvature flows will be accounted for, with particular emphasis on the fundamental problem of singularities formation.

A major goal of the School will indeed be putting the best students in the position of understanding the many open problems in the field.