Baohua Fu, Chinese Academy of Sciences, Beijing

Sixty years of compactifications of Cⁿ

Abstract

In 1954, Hirzebruch posed the problem to classify analytic compactifications of Cⁿ of b₂ = 1. I shall give a survey on results obtained for this problem over the sixty years and then discuss the new direction initiated by Hassett-Tschinkel in 1999 on equivariant compactifications of Cⁿ.  This is based on joint works with Jun-Muk Hwang.