Title	The exact discrete Lagrangian function on a Lie groupoid: theory and applications
Creator	Marrero, Juan Carlos
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-04-17T16:53
Description	In this talk, I will present some recent results on the geometric construction of the exact discrete Lagrangian function associated with a continuous regular Lagrangian function. This Lagrangian function is defined on the Lie algebroid of a Lie groupoid. In the last part of the talk, I will discuss two applications of the previous construction: i) Analysis of the error between the exact solutions of the Euler-Lagrange equations for the continuous Lagrangian function and the discrete trajectories derived by a variational integrator and ii) A relation with the Hamilton-Jacobi theory for the Hamiltonian function associated with the regular Lagrangian function.
Extent	42 minutes
Subject	Mathematics; Differential geometry; Topological groups, lie groups
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of La Laguna
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-10-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357054
URI	http://hdl.handle.net/2429/63291
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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