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
Password: 431261
