主 题: Counting curves on K3 surfaces and modular forms
报告人: Professor Rahul Pandharipande (ETH)
时 间: 2015-03-06 15:00 - 16:00
地 点: 理科一号楼 1114（数学所活动）
I will discuss the enumeration of curves on K3 surfaces: both
the classical roots in projective geometry and the modern successes
(connected to modular forms). How many tri-tangent planes
does a quartic surface have? The answer, when appropriately
counted, is 3200 -- the q^2 coefficient of the Fourier expansion of
the inverse of the discriminant modular form. This connection was
first noticed by Yau and Zaslow in 1995. In the last two decades, all
such counting question for K3 surfaces have been connected to
modular forms. I will present both the results and the open
directions in the subject.
