The autumn Department Assembly will meet on Wednesday, November 28, at 3:30pm, lecture room M1.

The programme involves three main points: brief report on the development of the department (J. Slovak), information about the passage to newly accredited programmes of study (J. Paseka), and presentation of the PR and popularization activities at our department (P. Zemanek).

The assembly will be chaired by P. Hasil.

Seminar of differential equations will continue on December 3, 2018 at 12pm in lecture room M5.

doc. RNDr. Michal Veselý, Ph.D. (Department of Mathematics and Statistics, PřF MU)

Critical oscillation case for linear and half-linear equations.

The seminar on differential geometry will continue with this lecture:

November 26, 10am, lecture room M5.

Yaroslav Bazaikin:

Losik classes for codimension one foliations

Abstract:

This is a joint work with A. Galaev. Following Losik's  approach to Gelfand formal geometry, certain characteristic classes  for codimension one foliations coming from Gelfand-Fuchs cohomology are considered. Sufficient conditions for non-triviality  in terms of the dynamical properties of generators of the holonomy groups are found. The non-triviality for the Reeb foliation is shown; this is in contrast with some classical theorems on the Godbillon-Vey class, e.g, the Mizutani-Morita-Tsuboi Theorem about triviality of the Godbillon-Vey class of foliations almost without holonomy is not true for the classes under consideration. It is shown that the considered classes are trivial for a large class of foliations without holonomy. The question of triviality is related to ergodic theory of dynamical systems on the circle and to the problem of smooth conjugacy of local diffeomorphisms. Certain classes are obstructions for the existence of  transverse affine and projective connections.

Seminar of differential equations will continue on November 19, 2018 at 12pm in lecture room M5.

doc. Andriy Shatyrko, Ph.D. (Taras Shevchenko National University of Kyiv):

Qualitative analysis of Lur’e-type control systems under uncertainties.