Hans Lundmark: The mathematics of peaked solitons

The aim of this talk is to give a rough overview of some mathematical
developments originating in the 1998 discovery of the Degasperis-Procesi
equation, the "evil twin" of the more famous Camassa-Holm shallow water
PDE from 1993. Here are a few buzzwords: peakons (peaked solitons),
shockpeakons, forward and inverse spectral theory of the discrete cubic
string, total positivity, Cauchy biorthogonal polynomials, and the
Canada Day Theorem (a curious identity concerning sums of minors of
symmetric matrices). But don't worry if nothing of this sounds familiar;
I will try to keep everything elementary!