Analysis seminar: Alexander Vasiliev

Speaker: Alexander Vasiliev, professor, University of Bergen.

Title:   Loewner equation and integrable systems.

Abstract:  Abstract: We argue that the Loewner equation serves as
a background tool for some integrable systems. In particular,
splitting time leads to the Vlasov equation for the distribution
function of plasma, and to the Benney hierarchy. We also show that
the solution to the Loewner equation with infinite dimensional time gives
the Lax function which solves the dispersionless KP hierarcy in
which the Benney equations may be recovered as the second in
the dKP hierarchy.
Joint work with Dmitri Prokhorov and Maxim Pavlov.