4 jun 2018 - 15 jun 2018   [open in google calendar]

International Centre for Theoretical Physics, Trieste

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.

The school is organized in partnership with the Clay Mathematics Institute.

Online application http://indico.ictp.it/event/8314/

Application deadline 1 March 2018

Grants A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

Organizers: Claudio Arezzo, Giovanni Bellettini, Francesco Maggi, Carlo Sinestrari.

Speakers: Sigurd Angenent, Panagiota Daskalopoulos, Gerhard Huisken, Carlo Mantegazza, Felix Otto, Carlo Sinestrari, Takis Souganidis, Yoshihiro Tonegawa.

• School Webpage