Colloque des sciences mathématiques du Québec

8 février 2013 de 16 h 00 à 18 h 00 (heure de Montréal/Miami) Sur place

Pentagram Map, Twenty Years After

Colloque par Sergei Tabachnikov (Pennsylvania State University)

Introduced by R. Schwartz about 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 field with numerous connections to diverse areas of mathematics.


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., salle SH-3420