More lectures on Hilbert schemes of points on surfaces

Understand

This paper is based on author's lectures at Kyoto University in 2010 Summer, and in the 6th MSJ-SI `Development of Moduli Theory' at RIMS in June 2013.

• The purpose of lectures was to review several results on Hilbert schemes of points which were obtained after author's lecture note was written.
• Among many results, we choose those which are about equivariant homology groups $H^T_*(X^{[n]})$ of Hilbert schemes of points on the affine plane $X = \mathbb C^2$ with respect to the torus action.