Statut  Confirmé 
Série  SOUTENTH 
Domaines  physics 
Date  Mardi 19 Septembre 2017 
Heure  14:30 
Institut  IPHT 
Salle  (voir dans annonce) 
Nom de l'orateur  Raphaël Belliard 
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Institution de l'orateur  IPhT 
Titre  Geometry of integrablesystems: from topological lax systems to conformal field theories 
Résumé  This PhD thesis is about a framework in complex geometry and methods thereof for solving sets of compatible differential equations arising from integrable systems, classical or quantum, in the context of the geometry of moduli spaces of connections over complex curves, or Riemann surfaces. It is based on the idea in mathematical Physics that integrable systems possess symmetries that impose algebrodifferential constraints, socalled loop equations, on the objects of interest (e.g. partition or correlation functions). In turn, we intend to solve these constraints recursively in certain topological regimes using a particular procedure called the topological recursion. Their solutions are in general generating functions of enumerativegeometric quantities. Since they are for the most part determined by the initial data of the recursive process, it realizes in the making an algebrogeometric classification of the family of integrable models under consideration. (The defense will take place at: Institut Henri Poincaré, Amphithéatre Darboux, 11 rue Pierre et Marie Curie, 75005, Paris.) 
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