SS31 AIMS 2016 Meeting, Orlando, Florida, USA

Title:  Celestial Mechanics and Beyond
Organizer(s):
Name: Affiliation: Country: Email Address:
Zhifu Xie
Virginia State University
USA
zxie@vsu.edu
Ernesto Perez-Chavela
Ernesto Perez-Chavela
México
ernesto.perez@itam.mx
Alessandro Portaluri
Università degli Studi di Torino
Italy
alessandro.portaluri@unito.it
Introduction:
This special session will concentrate on the latest developments in the field of celestial mechanics which laid the foundations for the birth of dynamical systems. The study of the N-body problem continues to attract researchers in a wide range of fields including dynamical systems, topology, variational methods, algebraic geometry, numerical methods and KAM theory. This special session provides a marketplace for ideas, and helps identify trends and areas of new opportunity in the field. This session brings established researchers and recent Ph. D’s together, some of whom are women or from groups underrepresented in mathematics. Some specific topics to be covered include Hamiltonian system, Ergodic theory, variational methods, central configurations, the N-body problem in spaces of constant curvature, discovery of new periodic solutions, regularization of collisions, stability of periodic solutions, spacecraft orbital design and applications of Morse index and Maslov index to the N-body problem. If the schedule permits, we anticipate ending the session with a discussion on open problems.
List of approved abstract