SMS scnews item created by Lachlan Smith at Fri 6 Mar 2020 1521
Type: Seminar
Distribution: World
Expiry: 1 May 2020
Calendar1: 13 Mar 2020 1600-1700
CalLoc1: Carslaw 175
Auth: lachlans@plachlans.pc (assumed)

# Sydney Dynamics Group: Bob Rink -- Aubry-Mather theory for twist maps and monotone recurrence relations

Dear All,

Next week, Friday March 13, Bob Rink (Vrije Universiteit Amsterdam) will give a talk in
Carslaw 175 at 4pm on

Title: Aubry-Mather theory for twist maps and monotone recurrence relations

Abstract:
In this talk I will try to provide an elementary introduction to Aubry-Mather
theory.  Aubry-Mather theory can be described as a variational method for finding
quasi-periodic solutions of Hamiltonian twist maps and monotone recurrence relations.
We will start with reviewing elementary results on circle homeomorphisms and then move
on to more to more complicated problems.  I will end with a theorem of Blaz Mramor and
myself on the non-existence of invariant quasi-periodic solutions (a so-called "converse
KAM theorem").

Hope to see you all there,
Lachlan


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