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Description: |
Introduced by R. Schwartz more than 20 years ago, the pentagram map acts on 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. The pentagram map is a discrete completely integrable system whose continuous limit is the Boussinesq equation, a completely integrable PDE of soliton type. In this talk I shall survey recent work on the pentagram map and its generalizations, emphasizing its close ties with the theory of cluster algebras, a new and rapidly developing area with numerous connections to diverse fields of mathematics. In particular, I shall describe a higher-dimensional version of the pentagram map and, somewhat counter-intuitively, its 1-dimensional version.
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| Start Date: |
2014-02-12 |
| Start Time: |
15:00 |
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Speaker: |
Sergei Tabachnikov (Pennsylvania State Univ., USA)
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Institution: |
Pennsylvania State University, Department of Mathematics, USA
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Place: |
Room 2.4 - DMUC
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URL: |
http://www.math.psu.edu/tabachni/
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See more:
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<Main>
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