


Politecnico di Torino  
Anno Accademico 2009/10  
01OARKK Calculus of variations and exterior differential system (didattica di eccellenza) 

Dottorato di ricerca in Matematica Per Le Scienze Dell'Ingegneria  Torino 





Obiettivi dell'insegnamento
prof. Gary R. Jensen  Mathematics Department, Washington University.
The aim of the course is to offer an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonin systems. It will be suitable for students in pure and applied mathematics and other areas such as dynamical systems, control theory, and mathematical physics. The specific goal of the course is to show how to implement the theory of exterior differential systems in one independent variable in the study of constrained variational problems. This method becomes extremely effective for nondegenerate variational problems with symmetries. The theory of exterior differential systems is used both to provide the theoretical background, and to work out specific examples drawn from differential geometry, integrable systems, and mechanics. The subject lies at the confluence of several areas of mathematics, such as differential and symplectic geometry, Lie groups, geometric control theory, and mathematical physics. Because of the richness of concrete examples and explicit solutions to specific problems using general techiniques, this course may be especially useful to students beginning their graduate program. 
Programma
il corso, della durata di 20 ore, si terrą nei mesi di maggiogiugno 2010. Il calendario sarą pubblicato appena disponibile.

Statistiche superamento esami 
