Statut  Confirmé 
Série  SEMDARBOUX 
Domaines  hepth,math,math.MP 
Date  Jeudi 23 Novembre 2017 
Heure  11:00 
Institut  LPTHE 
Salle  bibliothèque 
Nom de l'orateur  Itenberg 
Prenom de l'orateur  Ilia 
Addresse email de l'orateur  ilia [dot] itenberg [at] imjprg [dot] fr 
Institution de l'orateur  IMJPRG 
Titre  Tropical geometry and enumeration of curves 
Résumé  The main goal of the talk is to give an introduction to tropical geometry making an emphasis on the tropical approach to enumeration of algebraic curves in the plane. This approach, based on Grigory Mikhalkin's correspondence theorem, reduces many enumerative problems of GromovWitten type (complex or real) to a count of certain rectilinear graphs that are called tropical curves. We discuss enumeration of tropical curves with different multiplicities, in particular, with the polynomial multiplicities proposed recently by Florian Block and Lothar Göttsche; the enumeration with the help of these multiplicities can be interpreted as quantization of the number of complex solutions in the enumerative problems under consideration. 
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