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Convex integration is one of the most important tools in the construction of solutions of partial differential relations. It was first introduced by J. Nash in his work on $C^1$ isometric embeddings and later generalised by M. Gromov to deal with a large class of differential relations satisfying a geometric condition called ampleness.
In my talk, I will explain the key geometric insight underlying convex integration. I will then discuss some work in progress with F. Martínez-Aguinaga in which we adapt it to deal with more general (non-ample) differential relations. Our main application has to do with the construction of maps tangent/transverse to non-involutive distributions.
I will try to keep the talk as non-technical as possible and with many pictures!
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Dienstag, den 16. Juli 2019 um 13:00 Uhr, in Mathematicon, INF 205, SR C Dienstag, den 16. Juli 2019 at 13:00, in Mathematicon, INF 205, SR C

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Peter Albers