Seminar talk, 22 March 2023

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Speaker: Eugene Ferapontov

Title: Quasilinear systems of Jordan block type

Abstract:
I will discuss integrability aspects of quasilinear systems whose velocity matrix has a nontrivial Jordan block structure. I plan to cover the following topics:

  1. Integrable systems of Jordan block type and modified KP hierarchy;
  2. Hamiltonian aspects of quasilinear systems of Jordan block type;
  3. Example: delta-functional reductions of the soliton gas equation.

The talk will be based on joint work with Lingling Xue, Maxim Pavlov and Pierandrea Vergallo.