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Counting rational and elliptic curves in CP^2

Posted in
Speaker: 
Di Yang
Affiliation: 
MPI
Date: 
Tue, 2016-11-15 12:00 - 13:30
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

On a projective plane, two points determine 1 line, five points determine 1 conic, eight points
determine 12 degree three rational curves .... Given 3d-1 points in generic position, how many
degree d rational curves pass through all these points? The numbers in consideration are some
simplest Gromov--Witten invariants. We will review Kontsevich's answer to this question, and
we will review Getzler, Dubrovin--Zhang's answer for genus one.

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