11-20【Charles Cifarelli】腾讯会议 GAP研讨班系列讲座之191


题目: Shrinking gradient K\ahler-Ricci solitons and toric geometry

报告人:Charles Cifarelli (UC Berkeley)

时间: 2020年1120, 周五,上午7:50-9:20  

地点:腾讯会议账号:950 391 9321 ; 密码112358  /  五教5405

摘要:Toric manifolds form an important class of complex manifolds with large symmetry. For compact manifolds, there is a well-known procedure which exploits this symmetry to better understand invariant K\ahler metrics. I will give a brief survey of these results on a compact manifold $M$ and then move on to study the situation when $M$ is non-compact, with an emphasis on understanding shrinking gradient K\ahler-Ricci solitons. There is a rich theory for such metrics in the compact setting, but the non-compact case is less well understood. In this talk, after providing some background, I will describe my recent work on the uniqueness of shrinking gradient K\ahler-Ricci solitons on non-compact toric manifolds.