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 |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | S. Tabachnikov, PSU |
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| Abstract: |
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| 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 |
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| Date: | 11 / 17 / 2008 |
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| Time: | 03:30pm - 05:30pm |
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