Some applications of Lie groupoids in classical mechanics

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon, Kendra Stauffer, Matthew Peddie.

Speaker: David Martin de Diego, ICMAT

Abstract: Many interesting dynamical problems can be studied using the more general and inclusive perspective of Lie groupoids. In this talk, we will review some of these multiple applications of Lie groupoid theory in classical mechanics. First, we will introduce the application of Lie groupoids in Discrete Mechanics. Discrete mechanics seeks to develop a complete discrete-time counterpart of the usual continuous-time treatment of Mechanics. The ultimate objective of this effort is the construction of numerical integrators for Lagrangian and Hamiltonian systems. Finally, we will show some recent application of Lie groupoids to derive the equations of motion for forced mechanical systems in a purely variational setting, both in the context of Lagrangian or Hamiltonian mechanics, by duplicating the variables of the system.

Room Reservation Information

Room Number: 106 McAllister

Date: 09/25/2018

Time: 2:30pm - 3:30pm