Gaël Meigniez (Université de Bretagne Sud) will speak in the geometry seminar on the 23rd of January. The talk will take place in the Salle de Profs (9th floor, NO) at 13.30pm. Gaël’ title is “Quasi-complementary foliations and the Mather-Thurston Theorem” and the abstract is below.
Given a foliation of dimension q on a differential manifold, the problem of finding a foliation which is complementary to the first one, that is, of codimension q and transverse, is of course intractable in general. I’ll introduce the weakest notion of quasi-complementary foliation, and some elements of the proof that, for q>=2, they verify a form of Gromov’s h-principle; there follows also a new proof of the Mather-Thurston theorem (Work in progress).