Abstract: I will discuss a remarkable generalization of Mather’s
theorem by Thurston that relates the identity component of
diffeomorphism groups to the classifying space of Haefliger
structures. The homotopy type of this classifying space played
a...
Abstract: We discuss the problem of extending local deformations
of solutions to open partial differential relations to global
deformations and formulate conditions under which such extensions
are possible. Among others these results are applied to...
Abstract: We prove the equivalence of Eliashberg overtwisted
$h$—principle and the Eliashberg-Mishachev classification of
contact structures in the tight $3$-ball. I.e. we prove that simple
algebraic topology computations takes us from one result...
Abstract: The dynamics of an inviscid and incompressible fluid
flow on a Riemannian manifold is governed by the Euler equations.
Recently, Tao [6, 7, 8] launched a programme to address the global
existence problem for the Euler and Navier-Stokes...
