Charles Wang (Harvard University)
Friday, July 2, 2021 - 11:00
MPI fur Mathematik in den Naturwissenschaften Leipzig
Inselstr. 22, 04103 Leipzig, E1 05 (Leibniz-Saal), 1. Etage
I will give a gentle introduction (with computations!) to some ideas related to the KP equation. We will first see pseudo-differential operators, which are linear operators (on a suitable space of functions) containing both differential and integral parts. Next, we will study the ring of commuting differential operators with a given differential operator P, and finally we will see some basic algebraic data associated with P. While this is only a glimpse into a very rich theory, it sets the stage for very interesting objects such as the Sato Grassmannian, Lax pairs, Jacobians, algebraic curves, etc.
submitted by Saskia Gutzschebauch (Saskia.Gutzschebauch@mis.mpg.de, 0341 9959 50)