Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines math-ph
Date Lundi 15 Janvier 2018
Heure 11:00
Institut IPHT
Salle Salle Claude Itzykson, Bât. 774
Nom de l'orateur Raoul Santachiara
Prenom de l'orateur
Addresse email de l'orateur
Institution de l'orateur LPTMS Orsay
Titre Rigid Fuchsian systems in conformal algebras
Résumé An old question is whether the monodromy group of a Fuchsian system is determined by or determines uniquely the behavior of its solutions near the singularities. The answer is positive for a class of equations that are called rigid systems. We have recently discovered that these rigid systems describe a class of fundamental equations that lie in the heart of the Virasoro and W theories. We used a procedure developed in the last decades for the solutions of rigid systems to provide new results in CFTs. In this talk, I will introduce the Kats theory for rigid systems and I will explain how these systems are related to the conformal algebras mentioned above.
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