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Wrinkling (and, relatedly, surgery of singularities) is one of the main tools in the theory of h-principles. In Contact Topology, wrinkling is best known for its role in the study of legendrians: E. Murphy's h-principle for loose legendrians and D. Álvarez-Gavela's simplification of front singularities both rely on it. Just like the space of 1-jets of functions is endowed with a canonical contact structure, higher jet spaces are endowed with other canonical distributions. I will report on joint work with L. Toussaint in which we use wrinkling to construct submanifolds of jet spaces tangent to these canonical distributions (generalising thus the study of legendrians). I will pay particular attention to explaining how the contact case differs from the general setup.
Donnerstag, den 18. Juli 2019 um 14.00 Uhr, in Mathematikon, INF 205, Raum 03.414 Donnerstag, den 18. Juli 2019 at 14.00, in Mathematikon, INF 205, Raum 03.414
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Peter Albers