CMSA Member Seminar: On complete Calabi-Yau metrics and Monge-Ampere equations


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January 2, 2024 - February 2, 2024 12:00 pm - 1:00 pm
CMSA, 20 Garden St, Common Room

Freid Tong - Harvard

Calabi-Yau metrics are central objects in K\"ahler geometry and also string theory. The existence of Calabi-Yau metrics on compact manifolds was answered by Yau in his solution of the Calabi conjecture, but the situation in the non-compact setting is much more delicate, and many questions related to the existence and uniqueness of non-compact Calabi-Yau metrics remain unanswered. I will give an introduction to this subject and discuss some ongoing joint work with T. Collins and S.-T. Yau, on a new relationship between complete Calabi-Yau metrics and a new Monge-Ampere equation.

Friday, Feb. 2nd at 12pm, with lunch, lounge at CMSA (20 Garden Street). Also by Zoom: