Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-PHM
Subjects math-ph
Date Monday 19 June 2017
Time 11:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bât. 774
Speaker's Last Name Bertrand Eynard
Speaker's First Name
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Speaker's Institution IPhT and CRM
Title Topological recursion and quantization: from Eynard-Orantin to Kontsevich-Soibelman frameworks
Abstract Topological recursion (TR) was invented as a recursive method to enumerate (with a weight) surfaces of genus g and n boundaries. Such enumerative geometry problems can also often be formulated as integrable systems (Dubrovin Zang, Givental) and eventually amount to a quantization procedure. \par Initially in the EO formulation, the data needed for TR was a spectral curve: a plane complex curve, or its generalizations as local plane complex curves. \par In a recent reformulation, Kontsevich and Soibelman proposed to encode the data into an algebraic structure, that they called ``quantum Airy structure'', well suited for the quantization side of the story, and that could possibly allow generalizations. \par We shall discuss the link between the 2, and provide a concise overview of TR and its applications, from enumerative geometry to integrable systems.
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