Laminations and group actions in dynamics

General information

A dynamical system is an action of the infinite cyclic group. Group action study is important for different areas of dynamics and geometry.

The topics of the conference include:

• Kleinian groups.
• Foliations by Riemann surfaces.
• Groups of germs of conformal mappings.
• Diophantine approximations and homogeneous flows, e.t.c.

We plan a minicours by D. Calegari about the solution of the Ahlfors' measure conjecture for limit sets of Kleinian groups.

A preparatory talk (on Kleinian groups) will be given by A. Glutsyuk at Globus seminar (15.02, at 15h40) at the Independent University of Moscow, Conference room.

Confirmed speakers

C. Cabrera D. Calegari T. Golenishcheva-Kutuzova V. Z. Grines Yu. S. Ilyashenko V. Kaimanovich

D. Kleinbock V. Kleptsyn A. Klimenko Yu. Kudryashov N. B. Medvedeva I. Nakai M. Nalsky

A. Navas O. Pochinka L. Teyssier G. Tomanov S. M. Voronin N. I. Zhukova E. Zhuzhoma

Supporting organizations

Laboratoire Jean-Victor Poncelet

Russian foundation for basic research

Program

Monday, February 19

• 09:00–10:00Registration and coffee
• 10:00–10:15Opening session
• 10:15–11:15Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 11:15–11:45
• 11:45–12:45 Dmitry Kleinbock Expanding translates of horospheres and their applications to number theory
• 12:45–14:30
• 14:30–15:30 Georges Tomanov Values of homogeneous forms at integral points and tori actions on homogeneous spaces
• 15:35–15:55 Max Nalsky Stability of existence of non-hyperbolic measures for C¹-diffeomorphisms
• 15:55–16:25
• 16:25–17:25 Carlos Cabrera Topology of laminations associated to Feigenbaum polynomials

Tuesday, February 20

• 09:30–10:30Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 10:30–11:00
• 11:00–12:00 Yulij Ilyashenko Total rigidity of polynomial foliations
• 12:10–12:30 Tatiana Golenishcheva-Kutuzova Minimality and ergodicity of the typical analytic foliation in C²
• 12:30–14:10
• 14:10–15:10 Victor Kleptsyn Generalization of the Denjoy theorem for the actions of Z^d on the circle
• 15:10–15:40
• 15:40–16:00 Nina Zhukova Aureole foliations associated with Cartan foliations and their minimal sets
• 16:05–16:25 Yurii Kudryashov New examples of manifolds not admitting Anosov diffeomorphisms
• 16:30–16:50 Alexey Klimenko On classes of pre-Markov partitions for 2-dimensional torus automorphism

Wednesday, February 21

• 09:30–10:30Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 10:30–11:00
• 11:00–12:00 Isao Nakai Relations of formal diffeomorphisms of dimension one
• 12:10–13:10 Loic Teyssier Confluence of singular points in a family of holomorphic vector fields

Thursday, February 22

• 09:30–10:30Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 10:30–11:00
• 11:00–12:00 Andres Navas Growth of groups and diffeomorphisms of interval
• 12:10–12:50 Natalia Medvedeva Stability boundaries in the space of monodromic germs
• 12:50–14:30
• 14:30–15:30 Viatcheslav Grines Representations of transitive two-webs on surfaces by pairs of transversal geodesic laminations
• 15:35–15:55 Olga Pochinka On connection of the space North pole — South pole diffeomorphisms
• 15:55–16:25
• 16:25–17:05 Evgeny Zhuzhoma Surface basic sets
• 17:25–19:00Open problem session. Chairman D.Calegari
• 19:00 Banquet. Independent University, dining room, ground floor
  Price: 600 roubles (to be paid at the registration).

Friday, February 23

• 10:00–11:00 Vadim Kaimanovich Amenability of groupoids
• 11:00–11:30
• 11:30–12:30 Sergei Voronin Analytic normal forms for generic dicritic foliations
• 12:30Closing

Location (how to get to IUM)

From the Kropotkinskaya subway station

Take an exit to Gogolevsky blvd. It is closer to the first car of the southward train (going to the Yugo-Zapadnaya station). Go through the arcade near the subway exit and after that turn left down the stairs to the crosswalk (watch out for the cars!). Cross the road and go up the Gagarinsky street. In 5–7 minutes you'll see a church on your right — turn right to Bolshoy Vlasyevsky street after that. In 100 meters you'll see a yellowish-green four-story building on the left side of the street hidden behind some trees — that's MCCME.

From the Smolenskaya subway station (Arbatsko-Pokrovskaya line – #3, dark blue)

Take the only subway exit, go to Old Arbat. Cross it near McDonald's, go along Denezhny street to the next crossroads. Turn left to Sivtsev Vrazhek street, keep moving till you reach Bolshoy Vlasyevsky street on your right. That'll be the second available right turn. Turn right to Bolshoy Vlasyevsky, walk 30 meters and you'll see a yellowish-green four-story building on your right hidden behind some trees. That is MCCME.

Map and photo

Contacts

Organizers: Yu. S. Ilyashenko, A. A. Glutsyuk;
E-mail: lamgr@mccme.ru