[iasmath-seminars] Reminder for today's Members' Seminar

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY

School of Mathematics

Princeton, NJ 08540

 

Members' Seminar

Monday, March 18

 

To view mathematics in titles and abstracts, please click on the talk's
link.

 

 

Topic:                    Tracking trajectories in Hamiltonian systems using
holomorphic curve tools.

Speaker:              Barney Bramham, Ruhr University Bochum; von Neumann
Fellow, School of Mathematics

Time/Room:       2:00pm - 3:00pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=129431>
http://www.math.ias.edu/seminars/abstract?event=129431

 

The goal is to describe how techniques from symplectic dynamics can be used
to study orbit travel in three dimensions, for systems like the restricted
3-body problem from celestial mechanics. The pseudo-holomorphic curve theory
initiated by Hofer, Wysocki and Zehnder gives a decomposition of the space
into regions whose boundaries are surfaces transverse to the flow.
(Pseudo-holomorphic curves are special minimal surfaces). One can label the
regions A, B, C etc and form a directed graph. This gives us a natural
language to discuss trajectories of orbits, a topic notorious for its
complexity. Certain interesting features arise from this structure. I will
describe how semi-local considerations lead to more global information and
symbolic dynamics. This is joint work with Umberto Hryniewicz and Gerhard
Knieper. The talk will address a general mathematical audience.

 

 

 

http://www.math.ias.edu/seminars

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