Abstract：
In 1990 Tian-Yau proved the fundamental result that if Y is a Fano manifold and D is a smooth anti-canonical divisor, the complement X=Y\D admits a complete Calabi-Yau metric. A long standing problem has been to understand the existence of Calabi-Yau metrics when D is singular.  I will discuss the resolution of this problem when D=D_1+D_2 has two components and simple normal crossings.  I will also explain a general picture which suggests the case of general SNC divisors should be inductive on the number of components. This is joint work with Y. Li.

Speaker: 
Tristan Collins is an Assistant Professor in the Mathematics Department at MIT. Formerly he was a Benjamin Peirce Assistant Professor at Harvard University. He completed his Ph.D.  under the supervision of D.H. Phong at Columbia University in New York City. 

Zoom:
Link:  https://us02web.zoom.us/j/87035718641?pwd=WkY0Qlo3a2N4VFVNb2dnTStnVnJ4QT09
ID: 870 3571 8641
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