Special Lecture Series on Numerical Geometry - Tristan Collins

Explore a special lecture on numerical geometry delivered by MIT's Tristan Collins at the University of Miami. Delve into the complex world of complete Calabi-Yau metrics on the complement of two divisors, building upon Tian-Yau's 1990 theorem. Discover the resolution of a long-standing problem involving singular divisors, specifically when D=D_1+D_2 has two components and simple normal crossings. Gain insights into the general picture suggesting an inductive approach for cases with more components. Follow the lecture's progression from introduction and motivation through natural questions, geometrical inquiries, bubbles, and the Tanio problem to recent progress and both general and local approaches to solving these mathematical challenges.