3 problems

Let $X$ be a smooth Fano variety. A Kähler-Ricci soliton on $X$ is a Kähler metric satisfying the Kähler-Ricci soliton equation, and the anticanonical link is the link associated w…

Collins–Székelyhidi conjecture. Every odd-dimensional sphere of dimension at least five admits infinitely many families of Sasaki–Einstein metrics.

Let $S^{2n+1}$ denote the $(2n+1)$-dimensional sphere, with $n$ a positive integer. Sasaki–Einstein metric abundance conjecture. There are infinitely many families of Sasaki–Einste…