Moscow - Petersburg

Seminar on Low-Dimensional Mathematics

Place: Room 311, PDMI (27 Fontanka, St.-Petersburg).
Time: Fridays, 16:00--17:45.
Sponsor: oil company Schlumberger.
Organizer: S.Duzhin.

• October 4: G.Mikhalkin (SPb--SLC). "Gromov-Witten invariants and lattice paths in polygons".
  Abstract in English, Abstract in Russian.

• October 11: V.Sedykh (Moscow). "Topology of corank 1 singularities of a generic wave front".
  Abstract in English, Abstract in Russian.

• October 18: D.Siersma (Utrecht). "Minimal Round Functions on Low-Dimensional Manifolds".
  Abstract in English, Another lecture of Prof. Siersma: October 15th at a session of St.Petersburg Mathematical Society.

• October 25: P.Pushkar' (Moscow). "Invariants of Legendrian knots and Arnold's conjecture about four cusps."
  Abstract in Russian Cyrillic, Transliteration,

• November 1: S.Duzhin. "Several low-dimensional problems".
  TeX source and PostScript file are available.

• November 8: S.Lando (Moscow). "Ramified coverings of the sphere and the geometry of moduli spaces of curves".
  Abstract: transliterated Russian, Russian Cyrillic.
  Another lecture of Prof. Lando: November 5th at a session of St.Petersburg Mathematical Society.

• November 15: A.Nazarov (St.Petersburg). "Non-uniqueness of Solutions to the Reaction-Diffusion Equation in a Spherical Layer, or Why is 3-Space so Special?"
  Abstract: Russian Cyrillic, Transliteration.

• November 22: V.Fock (SPb--Moscow). Generalized Teichmuller spaces.
  Abstract: Russian Cyrillic, Transliteration.

• November 29: A.Khovanskii (Moscow--Toronto). Multidimensional topological version of Galois theory.
  Abstract (Russian translit).

• December 6: V.Kalnitski (SPb). Generalized Lagrange's equation: solvability and properties of solutions.
  Abstract: Russian Cyrillic, Transliteration.

• December 13: S.Duzhin (SPb). Kontsevich's integral and identities for infinite series.
  Russian, English.

• December 20: S.Gusein-Zade (Moscow). Exponential functions of algebraic varieties.
  Abstract: in Russian Cyrillic, Transliteration.

• December 30: (Extraordinary session) O.Viro (SPb--Uppsala). Tropical geometries.

Talks made in 2001.

Talks made in spring 2002.

The two titles of the seminar ("Moscow--Petersburg" and "Low-dimensional Mathematics") should not be taken too seriously.

On one hand, although our primary aim is to foster working contacts between the two main mathematical schools of Russia (Moscow and St.Petersburg), we also encourage mathematicians from other Russian cities as well as from outside Russia to present their talks at the seminar.

On another hand, although I personally prefer low-dimensional objects to high-dimensional and infinite-dimensional, the scope of the seminar is not, in principle, limited to any specific field of mathematics. Talks dedicated to any reasonable mathematical subject will be earnestly considered. Preference will be given to the talks of 'colloquium' nature, interesting to the general mathematical audience, not only to narrow specialists.

The seminar is sponsored by the oil company Schlumberger with which I have a research contract. This will allow us to cover the travel and living expenses for visitors from Moscow and probably from other Russian cities. Local speakers will be able to get a (small) fee for their talks, too. We shall not be able to cover the travel expenses from abroad; however, we will do our best to help the international visitors with accomodation and sightseeing in St.Petersburg.

Announcements about this seminar are sent over a special mailing list. If you want your address to be included in this list, please write me at duzhin@pdmi.ras.ru. To arrange your talk at the seminar, use the same address. If you have a wish to prepare a talk in principle, but are not yet sure about your nearest schedule, do not hesitate to write me, either. The talks are expected to be 1.5 hours (two 45 minute sections with a break).