Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-DARBOUX
Domaines 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] imj-prg [dot] fr
Institution de l'orateur IMJ-PRG
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 Gromov-Witten 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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