Marston Morse Lectures

Folding papers and turbulent flows

In the fifties John Nash astonished the geometers with his celebrated isometric embedding theorems. A folkloristic explanation of his first theorem is that you should be able to put any piece of paper in your pocket without crumpling or folding it, no matter how large it is. A couple of decades later Gromov showed how Nash's ideas can be used to reinterpret other known counterintuitive facts in geometry and to discover many new ones. Ten years ago László Székelyhidi and I discovered unexpected similarities with the behavior of some classical equations in fluid dynamics. Our remark sparked a series of discoveries and works which have gone in several directions. Among them the most notable is the recent proof of Phil Isett of a long-standing conjecture of Lars Onsager in the theory of turbulent flows.

Featuring

Camillo De Lellis

Speaker Affiliation

University of Zürich

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/marstonmorse/2017/0223-CamilloDeLellis
Date & Time
February 23, 2017 | 3:304:30pm

Location

S-101

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