PROGRAM

December 26

9h15 Opening

9h30-10h10 S.Yu.Yakovenko, "Yu.S.Ilyashenko and Hilbert's 16-th problem"

10h20-11h00 Yu.S.Ilyashenko, "Andrey Bolibrukh: friend and mathematician"

Coffee

11h30-12h10 V.I.Arnold, "Kepler's cubes and finite Lobatchevsky geometry"

12h20-13h00 Y.Yomdin, "Center problem for Abel equation, moments and compositions"

Lunch

14h30-15h10 R.Roussarie, "The cyclicity of singular loops of reversible quadratic Hamiltonian under quadratic perturbations"

15h20-15h40 L.Ortiz-Bobadilla, "Rigidity theorems for generic holomorphic germs of dicritic foliations and vector fields in $(\Bbb C^2,0)$"

Coffee

16h10-16h30 S.M.Voronin, "Monodromy group of degenerate singularities of holomorphic foliations"

16h40-17h00 V.Timorin, "Rectifiable pencils of conics"

17h10-17h30 K.V.Rerikh, "Integrability of functional equations and dynamical systems with discrete time defined by birational mappings"

December 27

9h30-10h10 V.Yu.Kaloshin, "Instabilities of totally elliptic points of symplectic maps in dimension four"

10h20-11h00 J.Guckenheimer, "Multiple time scale systems: an update"

Coffee

11h30-12h10 A.B.Katok, "Normal Forms, Geometric Structures and Rigidity"

12h20-13h00 K.M.Khanin, "Circle diffeomorphisms with breaks"

Lunch

16h30-17h40 Open problems session

Coffee

18h00-19h10 Open problems session

19h30 Banquet

December 28

9h30-10h10 D.Turaev, "Homoclinic bifurcations and dimension of attractors of evolutionary PDE's"

10h20-11h00 H.Zoladek, "The Bogdanov-Takens singularity"

Coffee

11h30-12h10 L.P.Shilnikov, "On systems with homoclinic loops of saddle-focus"

12h20-13h00 N.B.Medvedeva, "On the analytic solvability of the center-focus problem"

Lunch

14h30-14h50 N.K.Gavrilov, "Internal 1:3 resonance revisited"

15h00-15h20 V.Afraimovich, "Multipliers of homoclinic orbits"

Coffee

15h50-16h10 A.I.Bufetov, "Statistical properties of the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations"

16h20-16h40 V.Kleptsyn, "An example of non-coincidence of minimal and statistical attractors"

16h50-17h10 A.S.Gorodetski, "How often a diffeomorphism has infinitely many sinks?"

December 29

9h30-10h10 L.Gavrilov, "Higher order Poincar\'e-Pontryagin functions and iterated path integrals"

10h20-11h00 P.Mardesic, "Integrable linearizable and normalizable saddles in quadratic systems in $\Bbb C^2$"

Coffee

11h30-12h10 A.A.Glutsyuk, "Yu.S.Ilyashenko's contributions to the theory of holomorphic foliations and uniformization"

12h20-13h00 S.Orevkov, "Topology of plane real algebraic curves: some solved and open problems"

13h00 Closing