**UM Math Graduate Student Seminar**

Jorge Cardona

* University of Miami *

**will present**

**Hamiltonian Dynamics and PDEs**

Friday, November 13, 2015, 5:00pm

Ungar Building Room 402

**Abstract: **

Abstract: In this talk we will discuss some classical aspects of Hamiltonian dynamics on finite dimensional spaces as invariant measures, Liouville's theorem and the Poincare recurrence theorem. We will consider the linear Schrödinger equation, as an infinite dimensional dynamical system, to see how the previous ideas can be applied in that case. If time allows we will discuss some non-linear cases too.

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