PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.

Title:The pentagram map: a completely integrable system
Seminar:Center for Dynamics and Geometry Seminars
Speaker:S. Tabachnikov, PSU
Abstract:
Introduced by R. Schwartz 16 years ago, the pentagram map acts on non-degenerate plane n-gons, considered up to projective equivalence, by drawing the diagonals that connect second-nearest vertices and taking the new n-gon formed by their intersections. I shall demonstrate that the pentagram map has an invariant Poisson structure and is completely integrable. I shall also explain that the pentagram map is a discretization of the Boussinesq equation, a well known completely integrable system. Based on a joint work with V. Ovsienko and R. Schwartz.

Room Reservation Information

Room Number:MB106
Date:11 / 17 / 2008
Time:03:30pm - 05:30pm