Updates on the large scale geometry of asymptotically flat manifolds
- 👤 Speaker: Alessandro Carlotto (Imperial College)
- 📅 Date & Time: Monday 13 October 2014, 15:00 - 16:00
- 📍 Venue: CMS, MR13
Abstract
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.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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Alessandro Carlotto (Imperial College)
Monday 13 October 2014, 15:00-16:00