# Pentagram dynamics on curves and polygons

## Location

Math 380-W

Thursday, November 7, 2019 4:30 PM

Boris Khesin (University of Toronto)

We describe pentagram maps on polygons in any dimension, which extend R. Schwartz's definition of those maps in dimension 2. In many cases these turn out to be discrete integrable systems, while their continuous limits are given by evolving envelopes and solve equations of the Boussinesq and Korteweg-de Vries (KdV) hierarchies from hydrodynamics.