On complete Calabi-Yau metrics and Monge-Ampere equations

Name: On complete Calabi-Yau metrics and Monge-Ampere equations
Start: 2024-02-02T12:00:00-05:00
End: 2024-02-02T13:00:00-05:00
Location: CMSA, 20 Garden St, Common Room

CMSA EVENTS: CMSA MEMBER SEMINAR

When: February 2, 2024

12:00 pm - 1:00 pm

Where: CMSA, 20 Garden St, Common Room

Address: 20 Garden Street, Cambridge 02138, United States

Speaker: Freid Tong - Harvard University

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: https://harvard.zoom.us/j/92410768363