Лекции профессора Жолондека

Декабрь 13, 2013 | Все события

С 15 по 24 декабря 2013 с лекциями на нашем факультете выступит известный польский профессор Хенрик Жолондек (Henryk Żołądek). Тематика лекций охватывает современные исследования в области дифференциальных уравнений.

Лекции будут читаться на английском языке. Приглашаются все желающие. Явка студентов кафедры дифференциальных уравнений и системного анализа обязательна.

DateTimeRoomTopics of the lectures
16-Dec,
Monday		 1115–1235 341 The center-focus problem. The Bautin ideal and the center variety for polynomial vector fields. The reversible and Darboux centers in cubic plane systems. The cyclicity of some cubic plane centers. Application of methods of algebraic geometry. The center-focus problem for the 3-dimensional Lotka-Volterra systems.
1300–1420 322
1430–1550 430
17-Dec,
Tuesday		 1115–1235 341 The 16 th Hilbert problem. The weakened Hilbert problem and Abelian integrals. Pseudo-Abelian integrals. The higher order Melnikov functions.
1300–1420 419
1430–1550 430
18-Dec,
Wednesday		 1115–1235 341 Normal forms of vector fields. The analytic Takens normal form. The orbital and non-orbital normal forms for the Bogdanov-Takens singularity.
Holomorphic foliations. The resolution of singularities. The center problem for Abel equation.
1300–1420 348
1430–1550 428
19-Dec,
Thursday		 1115–1235 341 Integrability. The algebraic differential Galois theory. The topological Galois theory. Non-integrability of Painlevé equations.
Mechanical differential equations. The restricted three body problem. The rigid body dynamics.
1300–1420 609
1430–1550 419
20-Dec,
Friday		 1115–1235 341 Linear meromorphic systems. The normal forms and the Stokes phenomenon. The WKB method. The Riemann-Hilbert problem.
Applications. Isomorphic deformations and Frobenius manifolds. Hypergeometric equations and the mirror symmetry. Hypergeometric equations and multiple zeta values.
1300–1420 342
1430–1550 350