Laminations and group actions inˆàdynamics

General information

A dynamical system is an action of the infinite cyclic group. Group action study isˆàimportant forˆàdifferent areas ofˆàdynamics and geometry.

The topics ofˆàthe conference include:

• Kleinian groups.
• Foliations byˆàRiemann surfaces.
• Groups ofˆàgerms ofˆàconformal mappings.
• Diophantine approximations and homogeneous flows, e.t.c.

We plan aˆàminicours byˆàD.ˆàCalegari about the solution ofˆàthe Ahlfors' measure conjecture for limit sets ofˆàKleinian groups.

Aˆàpreparatory talk (onˆàKleinian groups) will be given byˆàA.ˆàGlutsyuk atˆàGlobus seminar (15.02, atˆà15h40) atˆàthe Independent University ofˆàMoscow, Conference room.

Confirmed speakers

C.ˆàCabrera D.ˆàCalegari T.ˆàGolenishcheva-Kutuzova V.ˆàZ.ˆàGrines Yu.ˆàS.ˆàIlyashenko V.ˆàKaimanovich

D.ˆàKleinbock V.ˆàKleptsyn A.ˆàKlimenko Yu.ˆàKudryashov N.ˆàB.ˆàMedvedeva I.ˆàNakai M.ˆàNalsky

A.ˆàNavas O.ˆàPochinka L.ˆàTeyssier G.ˆàTomanov S.ˆàM.ˆàVoronin N.ˆàI.ˆàZhukova E.ˆàZhuzhoma

Supporting organizations

Laboratoire Jean-Victor Poncelet

Russian foundation for basic research

Program

Monday, Februaryˆà19

• 09:00òÀÓ10:00Registration and coffee
• 10:00òÀÓ10:15Opening session
• 10:15òÀÓ11:15Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 11:15òÀÓ11:45
• 11:45òÀÓ12:45 Dmitry Kleinbock Expanding translates of horospheres and their applications toˆànumber theory
• 12:45òÀÓ14:30
• 14:30òÀÓ15:30 Georges Tomanov Values ofˆàhomogeneous forms atˆàintegral points and tori actions onˆàhomogeneous spaces
• 15:35òÀÓ15:55 Max Nalsky Stability of existence of non-hyperbolic measures for C¹-diffeomorphisms
• 15:55òÀÓ16:25
• 16:25òÀÓ17:25 Carlos Cabrera Topology ofˆàlaminations associated toˆàFeigenbaum polynomials

Tuesday, Februaryˆà20

• 09:30òÀÓ10:30Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 10:30òÀÓ11:00
• 11:00òÀÓ12:00 Yulij Ilyashenko Total rigidity of polynomial foliations
• 12:10òÀÓ12:30 Tatiana Golenishcheva-Kutuzova Minimality and ergodicity of the typical analytic foliation in Cˆ’
• 12:30òÀÓ14:10
• 14:10òÀÓ15:10 Victor Kleptsyn Generalization of the Denjoy theorem for the actions of Z^d on the circle
• 15:10òÀÓ15:40
• 15:40òÀÓ16:00 Nina Zhukova Aureole foliations associated with Cartan foliations and their minimal sets
• 16:05òÀÓ16:25 Yurii Kudryashov New examples ofˆàmanifolds not admitting Anosov diffeomorphisms
• 16:30òÀÓ16:50 Alexey Klimenko Onˆàclasses ofˆàpre-Markov partitions for 2-dimensional torus automorphism

Wednesday, February 21

• 09:30òÀÓ10:30Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 10:30òÀÓ11:00
• 11:00òÀÓ12:00 Isao Nakai Relations of formal diffeomorphisms of dimension one
• 12:10òÀÓ13:10 Loic Teyssier Confluence of singular points in a family of holomorphic vector fields

Thursday, February 22

• 09:30òÀÓ10:30Danny CalegariHyperbolic 3-manifolds, tameness and Ahlfors' measure conjecture (minicours)
• 10:30òÀÓ11:00
• 11:00òÀÓ12:00 Andres Navas Growth of groups and diffeomorphisms of interval
• 12:10òÀÓ12:50 Natalia Medvedeva Stability boundaries inˆàthe space ofˆàmonodromic germs
• 12:50òÀÓ14:30
• 14:30òÀÓ15:30 Viatcheslav Grines Representations of transitive two-webs on surfaces by pairs of transversal geodesic laminations
• 15:35òÀÓ15:55 Olga Pochinka On connection of the space North pole òÀÔ South pole diffeomorphisms
• 15:55òÀÓ16:25
• 16:25òÀÓ17:05 Evgeny Zhuzhoma Surface basic sets
• 17:25òÀÓ19:00Open 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

• 10:00òÀÓ11:00 Vadim Kaimanovich Amenability of groupoids
• 11:00òÀÓ11:30
• 11:30òÀÓ12:30 Sergei Voronin Analytic normal forms for generic dicritic foliations
• 12:30Closing

Location (how to get to IUM)

From the Kropotkinskaya subway station

Take anˆàexit toˆàGogolevsky blvd. Itˆàisˆàcloser toˆàthe first car ofˆàthe southward train (going toˆàthe Yugo-Zapadnaya station). Goˆàthrough the arcade near the subway exit and after that turn left down the stairs toˆàthe crosswalk (watch out for the cars!). Cross the road and goˆàup the Gagarinsky street. In 5òÀÓ7ˆàminutes you'll see aˆàchurch onˆàyour rightˆàòÀÔ turn right toˆàBolshoy Vlasyevsky street after that. Inˆà100ˆàmeters you'll see aˆàyellowish-green four-story building onˆàthe left side ofˆàthe street hidden behind some treesˆàòÀÔ that's MCCME.

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

Take the only subway exit, goˆàtoˆàOld Arbat. Cross itˆànear McDonald's, goˆàalong Denezhny street toˆàthe next crossroads. Turn left toˆàSivtsev Vrazhek street, keep moving till you reach Bolshoy Vlasyevsky street onˆàyour right. That'll beˆàthe second available right turn. Turn right toˆàBolshoy Vlasyevsky, walk 30ˆàmeters and you'll see aˆàyellowish-green four-story building onˆàyour right hidden behind some trees. That isˆàMCCME.

Map and photo

Contacts

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