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Abelian varieties in algebraic integrable systems and separation of variables

Autor
Fedorov, Y.
Tipus d'activitat
Presentació treball a congrés
Nom de l'edició
4th Iberoamerican Meeting on Geometry, Mechanics and Control
Any de l'edició
2014
Data de presentació
2014-04-10
Resum
The most powerful method of explicit solving algebraic completely integrable systems is their Lax representation. The complex invariant tori of the systems are known to be Jacobian varieties of the corresponding spectral curves or, in most cases, Abelian subvarieties of the Jacobians, called Prym varieties. Then, if one wants to make a separation of variables for the system, it is nesesary to relate the Prym variety with an algebraic curve. I will show how to do this this for several classes...
Paraules clau
Integrable Systems, Lax Representation, Prym Varieties, Separation Of Variables
Grup de recerca
SD - Sistemes Dinàmics

Participants