The student seminar "On subjects of mathematics connected with the dynamical systems studying"
A series of seminars on various branches of mathematics related to the theory of dynamical systems. The seminar is focused mainly on undergraduates, masters, PhD students and professors who would like to expand their horizons in the field of both modern and classical mathematical methods in dynamics.
Place and time of the event:
On Saturdays at 11:00
NRU HSE-Nizhni Novgorod, B.Pecherskaya street, 25/12, room 116
Infomation is specified, look after.
Foliations and the associated structures
Speaker: Nina Zhukova
Smooth foliations. Examples of foliations on a torus, Mobius strip and Klein bottle. The foliations defined by the action of Lie groups. Reeb lamination on a three-dimensional sphere. The construction of foliations by the superstructure method of group homomorphism. Minimal sets and their properties. Sufficient conditions for the existence of a minimal set of foliations. Foliation holonomy groups: various interpretations. Eresman's connection for a smooth foliation and holonomy group. Decomposition theorems for foliations with integrable connections. The concept of transversal geometric structure of a foliation. Riemannian and conformal foliations with Eresmann connections. Molino's theory of the structure of Riemannian foliations. The concept of attractor for foliations. Global attractors and the structure of conformal foliations with Eresman connections.
Introduction to the Lorentz geometry
Speaker: Evgeny Yakovlev
The Lorentz geometry has been created and developed mainly due to the needs
theoretical physics. Its particular case is the Minkowski geometry. It turned out to be
a natural tool for describing the special theory of relativity - the science of
laws of motion at speeds comparable to the speed of light. After that there has been
created the general theory of relativity, which is the geometric theory of
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