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Recent progress in Min-Max Theory

Special Events

Speaker: Yevgeny Liokumovich, MIT
Location: 1147 MSB
Start time: Wed, Jan 24 2018, 4:10PM

Description

Almgren-Pitts Min-Max Theory is a method for constructing minimal hypersurfaces in Riemannian manifolds. In the last few years a number of long-standing open problems in Geometry, Geometric Analysis and 3-manifold Topology have been solved using this method. I will explain the main ideas and challenges in Min-Max Theory with an emphasis on its quantitative aspect: what quantitative information about the geometry and topology of minimal hypersurfaces can be obtained from the theory?



Refreshments will be served before the talk!