University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Updates on the large scale geometry of asymptotically flat manifolds

Updates on the large scale geometry of asymptotically flat manifolds

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  • UserAlessandro Carlotto (Imperial College)
  • ClockMonday 13 October 2014, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Prof. Neshan Wickramasekera.

Asymptotically flat manifolds naturally arise in General Relativity as models for isolated gravitational systems, like our solar system is classically thought of. As a result, the geometry of these spaces has been the object of extensive investigation over the last two decades. While a lot is now known (thanks to the work of Huisken-Yau, Eichmair-Metzger and many others) about the structure of large isoperimetric domains, hence of large CMC spheres and their relations to the ADM mass and center of mass, most questions concerning complete (non-compact) minimal (more generally: CMC ) surfaces are substantially open. In this talk, I will present a selection of recent results in this direction.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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