I will present an elementary introduction to the
regularity/uniqueness issues for the Navier-Stokes equations.
Thanks to the convex integration technique, the h-principle is
starting to take shape for the uniqueness problem. It might be
possible...
Abstract: I use the same title for different talks, changing the
selection of topics and the level of detailedness for each topic:)
This is a survey talk based on joint projects with D. Chen, S.
Ivanov, late Ya. Kurylev, M. Lassas, J. Lu, and, if...
Abstract: Cieliebak and Eliashberg showed that there is a
special class of flexible symplectic structures that satisfy an
h-principle and hence have `trivial' symplectic topology. In
this talk, I will explain that it is fruitful to think of...
Abstract : We describe a construction of a
locally conformal symplectic structure homotopic to any given
non-degenerate 2-form and whose Lee form can be any non-exact
1-form. Moreover, each connected component of the boundary, if any,
may be chosen...
Abstract: Traditionally, objects of study in symplectic geometry
are smooth - such as symplectic and Hamiltonian
diffeomorphisms, Lagrangian (or more generally, isotropic and
co-isotropic) submanifolds etc. However, in the course of
development of...
Abstract: In the first half of the talk I will
review Gromov's work on convex integration for open differential
relations. I will put particular emphasis on comparing various
flavours of ampleness and, in particular, I will note that the
different...
