Complete Calabi-Yau Metrics on the Complement of Two Divisors
报告人：Tristan Collins (Massachusetts Institute of Technology)
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.
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.
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