Arnold's Seminar: Schedule for Spring 1997

February 18

Dmitruk (sorry! I do not know his first name). Geodesics of subriemannian metrics.

February 25

Sabir Gussein-Zade. Verlinde algebras and intersection form on vanishing cycles.

March 4

Stepan Orevkov. Classification of ovals in RP^2 and knot theory.

March 11

Oleg Musin. Chebyshev systems and the four vertex theorem.

March 18

Yurii Burman. A generalization of Whitney formula for plane curves to higher dimensions.

March 25

Sergei Lando. Classification of coverings S^2 -> S^2 with one degenerate singular point.

April 1

Sergei Duzhin. Truncated symmetric products (after J.Mostovoy).

April 8

Victor Vassiliev. Knot invariants in an arbitrary manifold.

April 15

Boris Kruglikov. Kobayashi metric for almost complex manifolds.

April 22

Sabir Gussein-Zade. The extended semigroup of a singular point of a complex curve.

April 29

Sergei Duzhin. Integral formula for the strangeness of a plane curve (after Yu.Baryshnikov).

Andrei Agrachev. Caustics of contact geodesics.

May 6

No seminar.

May 13

V.Vassiliev. r-supported submanifolds in $R^n$.
Summary: A submanifold $M \subset R^n$ is $r$-supported if for any $r$ points in $M$ there is a hyperplane, supporting $M$ and touching it at exactly these $r$ points. We prove that the minimal dimension $n=n(k,r)$ of the space $R^n$, containing a stably $r$-supported submanifold diffeomorphic to $R^k$, is asymptotically no less than $2kr-k$.

May 20

Yu.Chekanov. A new invariant of Legendrian knots.

May 23

Special session: Steklov Institute (new building), 14:00
V.I.Arnold. Problems.

Last update: May 22, 1997