Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects math,math.MP
Date Thursday 23 November 2017
Time 11:00
Institute LPTHE
Seminar Room bibliothèque
Speaker's Last Name Itenberg
Speaker's First Name Ilia
Speaker's Email Address ilia [dot] itenberg [at] imj-prg [dot] fr
Speaker's Institution IMJ-PRG
Title Tropical geometry and enumeration of curves
Abstract 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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