Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-PHM
Subjects math-ph
Date Monday 15 January 2018
Time 11:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bât. 774
Speaker's Last Name Raoul Santachiara
Speaker's First Name
Speaker's Email Address
Speaker's Institution LPTMS Orsay
Title Rigid Fuchsian systems in conformal algebras
Abstract 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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