Organizers

prof. dr hab. Henryk Żołądek

Information

Fridays, 10:15 a.m. , room: 5840

Home page

http://www.mimuw.edu.pl/~baranski/dsg/seminar/

Research fields

Ordinary Differential Equations and Dynamical Systems

List of talks

Nov. 6, 2009, 10:15 a.m.
Dmitry Novikov (Weizmann Institute of Science)
Constructive solution of Infinitesimal Hilbert 16th problem
Abelian integrals are integrals of polynomial one-form over a real planar algebraic oval, considered as a (multivalued) function of coefficients of the form and of the polynomial defining the oval. Their zeros are responsible for …
Oct. 30, 2009, 10:15 a.m.
Pavao Mardesic (Universite de Bourgogne)
The Poincaré-Hopf index of vector fields on a singular varieties
We present a joint work with Gomez-Mont and Luis Giraldo. We define the Poincaré-Hopf index of a vector field X tangent to a singular variety V. We show how this index can be calculated in …
Oct. 16, 2009, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
The Francoise-Yomdin center problem for polynomial Abel equation
Oct. 9, 2009, 10:15 a.m.
Maciej Borodzik (Uniwersytet Warszawski)
Morse theory for plane curves with applications
Oct. 2, 2009, 10:15 a.m.
- (Uniwersytet Warszawski)
Ustalenie programu na semestr zimowy
June 5, 2009, 10:15 a.m.
Michał Misiurewicz (Indiana University - Purdue University Indianapolis)
General spiral maps
May 29, 2009, 10:15 a.m.
Marcin Bobieński (Uniwersytet Warszawski)
Differential equations satisfied by Abelian integrals
We formulate necessary and sufficient condition for Abelian integral to satisfy ordinary differential equation with algebraic coefficients. We apply this theory to some Darboux integrable systems. (joint work with L. Gavrilov, Toulouse).
May 22, 2009, 10:15 a.m.
Galina Filipuk (Uniwersytet Warszawski, Polska Akademia Nauk)
Singularities of nonlinear ODEs
I am going to speak about algebraic singularities of certain nonlinear ordinary differential equations of second order. This is a joint work with R. Halburd (UCL, UK).
May 15, 2009, 10:15 a.m.
Krzysztof Barański (Uniwersytet Warszawski)
Omega-limit sets for the Stein-Ulam spiral map
We consider a quadratic map of the 2-dimensional simplex to itself, studied by Stanisław Ulam and Paul Stein in the 1950's. Those maps arise in the theory of population genetics. One of them has the …
April 24, 2009, 10:15 a.m.
Balazs Barany (Uniwersytet Warszawski)
Absolutely continuity of random iterated function systems
April 17, 2009, 10:15 a.m.
Waldemar Pałuba (Uniwersytet Warszawski)
Dwa dowody monotoniczności orbity o okresie 8 w rodzinie quasi-kwadratowej
March 27, 2009, 10:15 a.m.
Maciej Borodzik (Uniwersytet Warszawski)
Mixed Hodge structures and classical knot theory
I intend to show some correspondence between some aspects of mixed Hodge structures of isolated singularities and classical knot invariants, like Alexander polynomial and signature of a knot. This correspondence is quite known for the …
March 20, 2009, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
The Jacobian Conjecture and Newton-Puiseux charts
The Jacobian Conjecture concerns polynomial maps with constant Jacobian determinat. To study such a map one has to resolve its indeterminacies at infinity, by blowing-up some points at infinity. Very useful turn out special coordinate …
March 13, 2009, 10:15 a.m.
Marcin Bobieński (Uniwersytet Warszawski)
Conformal geometry and its applications in differential equations
During my seminar I'd like to recall construction of local conformal invariant of metric in dimension n >= 3. In particular, the conformal flatness of metric is equivalent to vanishing of certain tensorial invariant. Then …
March 6, 2009, 10:15 a.m.
Łukasz Pawelec (Uniwersytet Warszawski)
Visiting times trajectories and statistics
In an ergodic dynamical system almost every point visits a neighborhood of almost any fixed point infinitely often. This can be seen as a generalization of Poincare recurrence. We shall see what can be said …