Research group on
Differential Geometry, Dynamical Systems, and Applications
Grup de recerca sobre
Geometria Diferencial, Sistemes dinàmics i Aplicacions
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Department of Applied Mathematics IV
Departament de Matemàtica Aplicada IV
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Technical University of Catalonia
Universitat Politècnica de Catalunya
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This is the home page of the research group
on Differential Geometry, Dynamical Systems, and Applications
of the
Department of Applied Mathematics IV
of the
Technical University of Catalonia (UPC).
The activities of the group began in 1988,
and can be roughly described as
differential geometry and its applications,
especially to theoretical physics
and to control theory.
Our main research topics are:
-
Geometric structures in Physics
- Lagrangian and hamiltonian formalisms
- Higher-order systems, time-dependent systems
- Classical field theory
- Singular differential equations
- Symmetries and reduction
- Hamilton-Jacobi theory
- Geometric quantization
-
Geometric methods in control theory
- Control of mechanical systems
- Geometric and algebraic control
- Optimal control
- Singular systems
We collaborate with other researchers in these topics,
and in particular our group is involved in the
Geometry, Mechanics and Control Network.
We have organised two sessions of the
Fall Workshop on Geometry and Physics:
Barcelona 1993 and Vilanova i la Geltrú 2000
and one session of the
Summer School
on Geometry, Mechanics, and Control: l'Ametlla de Mar 2009,
as well a other activities in the network.
We have also organised several sessions on mathematical physics
in the CSASC meeting.
Additional information about the group can be found
at the following links:
Contact
Postal address
Departament de Matemàtica Aplicada IV
Universitat Politècnica de Catalunya
Campus Nord UPC, edifici C3
C. Jordi Girona, 1
08034 Barcelona
Catalonia, Spain
Email and phone
See the
Personnel
page,
or look it up in the
directory of our Department.
This web page is
http://www-ma4.upc.edu/dgdsa
It was started by
J. Franch and X. Gràcia
on 10 June 1997.
You may send comments to
xgracia@ma4.upc.edu.
This web page is stored in the
WWW server
of the Department of Applied Mathematics IV.
Last update: 21 December 2012