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Yu-Shen Lin (Boston University, USA)
2022-12-30  10:00 - 11:30
Room 202, Astronomy and Mathematics Building

 

Given a Fano manifold  with a smooth anti-canonical divisor , Tian-Yau solved the corresponding complex Monge-Ampere equation and proved that the complement  admits complete Ricci-flat metrics. It is little known if  admits a complex Ricci-flat metric if  is a simple normal crossing. In this talk, I will explain the recent work of Collins-Li which gives an affirmative result when . I will also give some partial results in dimension two based on a joint work in progress with Collins.