Title: KP solitons and the Grassmannians
Speaker: Yuji Kodama
Abstract: I will explain how the combinatorics can provide useful tools to classify 2-dimensional patterns of nonlinear waves.
These patterns are the solutions (KP solitons) of the Kadomtsev-Petviashvili (KP) equation which describes nonlinear wave interactions of the shallow water waves. Those tools include some decorated Young diagrams and permutations which provide an interesting parametrization of certain cell decomposition of the totally nonnegative Grassmannians.
This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for one or two credit hours of Math 6193 with Professor Henri Moscovici.