12-17【张俊升】On Kähler-Ricci shrinkers and polarized Fano fibration

发布时间:2024-11-29来源:几何与物理研究中心中文网页浏览次数:160

报告人:张俊升美国国家数学科学研究所

时间:2024年12月17日 09:00-10:00

地点:腾讯会议:823 182 583,无需密码


 

We prove that every Kähler-Ricci shrinker (not necessarily compact) admits a quasi-projective variety structure. The proof uses Kähler reduction and Birkar's boundedness result for Fano varieties. Moreover we propose several conjectures for Kähler-Ricci shrinkers, which unifies the well-developed theories for Kähler-Einstein metrics and Calabi-Yau cones.