Quebec Mathematical Sciences Colloquium

January 17, 2014 from 16:00 to 18:00 (Montreal/Miami time) On location

Nondegenerate curves and pentagram maps

Colloquium presented by Boris Khesin (University of Toronto)

A plane curve is called nondegenerate if it has no inflection points. How many classes of closed nondegenerate curves exist on a sphere? We are going to see how this geometric problem, solved in 1970, reappeared along with its generalizations in the context of the Korteweg-de Vries and Boussinesq equations. Its discrete version is related to the 2D pentagram map defined by R.Schwartz in 1992. We will also describe its generalizations, pentagram maps on polygons in any dimension and discuss their integrability properties. This is a joint work with Fedor Soloviev.

Address

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