Sponsored by: Grant ACI "Noeuds et Tresses" (leaders S.Nechaev, A.Sossinsky), RFBF French-Russian grant (leaders: A.Sossinsky, P.Dehornoy).

Program committee: P.Dehornoy, S.Lando, J.Mairesse, S.Matveev, A.Skopenkov, A.Vershik.

Organizing committee: A.Sossinsky, S.Duzhin, E.Novikova.

List of participants

1. Petr Akhmetiev (IZMIRAN, Russia)
2. Lev Birbrair (UFC, Brazil)
3. Xavier Bressaud (Luminy, France)
4. Vladimir Chernov (Dartmouth, US)
5. Sergei Chmutov (Ohio State, US)
6. Diarmuid Crowley (Uni-Bonn, Germany)
7. Patrick Dehornoy (Caen, France)
8. Sergei Duzhin (PDMI, Russia)
9. Ivan Dynnikov (Moscow Univ, Russia)
10. Vladimir Fock (ITEP, Russia)
11. Alexander Gaifullin (Moscow Univ, Russia)
12. Elena Glushak (SPb, Russia)
13. Nikita Kalinin (SPbSU)
14. Maxim Karev (PDMI, Russia)
15. Oleg Karpenkov (MCCME, Russia)
16. Gleb Koshevoy (CEMI, Russia)
17. Vladimir Kotov (SPbSU)
18. Sergei Lando (MCCME, Russia)
19. Jean Mairesse (Paris-7, France)
20. Andrei Malyutin (PDMI, Russia)
21. Sergei Matveev (Chelyabinsk Univ, Russia)
22. Vadim Meshkov (SPbSPU, Russia)
23. Jacob Mostovoy (UNAM, Mexico)
24. Alexander Omelchenko (SPbSPU, Russia)
25. Leonid Plakhta (Lviv, Ukraine -- Gdansk, Poland)
26. Arkadi Skopenkov (Moscow Univ, Russia)
27. Mikhail Skopenkov (Moscow Univ, Russia)
28. Alexei Sossinsky (MCCME, Russia)
29. Anatoly Vershik (PDMI, Russia)
30. Vladimir Vershinin (Novosibirsk--Montpelier)
31. Pasquale Anthony Zito (?--Poncelet Lab)

Programme.
September 10,11,13,14: working days.
September 10: welcome party.
September 12: excursions; banquet.

September 10

• 9:00--10:00. Registration.
• 10:00--10:10. Opening.
• 10:10--10:50. Xavier Bressaud. A normal form for braids.
• 11:00--11:20. Coffee break.
• 11:20--12:00. Gleb Koshevoy. Combinatorial solution of Horn's problem.
• 12:10--12:40. Jacob Mostovoy. Polyak algebras in low degrees.
• 12:40--14:00. Lunch.
• 14:00--15:00. Andrei Malyutin. Pseudo-characters of braid groups.
• 15:10--15:30. Coffee break.
• 15:30--16:10. Sergei Lando. Mutant knots and intersection graphs.
• 16:20--17:00. Sergei Chmutov. Thistlethwaite's theorem for virtual links.
• 17:10--17:40. Oleg Karpenkov. Energies of knots and graphs.
• 18:00. Welcome party.

September 11

• 10:00--11:00. Sergei Matveev. Complexity in low-dimensional topology.
• 11:10--11:30. Coffee break.
• 11:30--12:30. Vladimir Fock. Flat connections and triples of flags.
• 12:40--14:00. Lunch.
• 14:00--14:40. Ivan Dynnikov. Grid diagrams of links and braids.
• 14:50--15:30. Petr Akhmetiev. Applications of knots in MHD.
• 15:40--16:00. Coffee break.
• 16:00--16:50. Vladimir Vershinin. On simplicial objects for Khovanov homology.
• 17:00--17:50. Maxim Karev. Floer homology of a link with a trivial component.

September 12

• 15:30. (For the French participants). Visit to the Academic Center (Universitetskaya naberezhnaya 5).
• 16:00--17:00. An Euler excursion to the Kunstkammer (where he lived and worked during a certain period). Address: Universitetskaya naberezhnaya 3.
• 18:00--21:00. Boat trip with banquet. Boarding at Zimnyaya kanavka (near the Hermitage). Disembarkment at Fontanka 27.

September 13

• 10:00--11:00. Arkadi Skopenkov. A new invariant and parametric connected sum of embeddings.
• 11:10--11:30. Coffee break.
• 11:30--12:10. Mikhail Skopenkov. A formula for the group of links in the 2-metastable dimension.
• 12:20--13:00. Diarmuid Crowley. Modified surgery and 3/4-dimensional embeddings in 6/7 space.
• 13:00--14:20. Lunch.
• 14:20--15:00. Leonid Plakhta. On the n-equivalence of knots and two-component links in 3-space.
• 15:10--15:30. Coffee break.
• 15:40--16:40. Vadim Meshkov. Classification of textile structures.
• 16:50--17:30. Alexander Omelchenko. Combinatorics of cascade diagrams.

September 14

• 10:00--11:00. Anatoly Vershik. Random braids, random tangles, Poisson boundary, problems.
• 11:10--11:30. Coffee break.
• 11:30--12:30. Jean Mairesse. Random walks on groups and queues.
• 12:40--14:00. Lunch.
• 14:00--15:00. Patrick Dehornoy. Alternating normal form of braids and applications.
• 15:10--15:40. Elena Glushak. Linear embeddings of a graph in R^3 up to rigid isotopy.
• 15:50--16:10. Coffee break.
• 16:10--17:00. Lev Birbrair. Singularities of complex algebraic surfaces.
• 17:10--18:00. Vladimir Chernov. Causality, linking and refocusing spacetime.

Transportation and topography:
From Pulkovo airport minibus no. 3 will take you to metro station "Moskovskaya" in about 15 minutes for 15 rubles. Do not use taxies that are waiting at the taxi stand: they ask triple price. Call 058 or 068 instead: these are honest companies, they will take you, say, to Anichkov bridge for about 500 rubles. Foreign participants will be met at the airport. Here are addresses and maps: Euler institute, Hotels.

Lunch:
During the 4 working days, lunch will be organized in a restaurant near the Euler institute. It will be free for all registered participants (i.e. those who are in the above list).