EVENT DETAILS AND ABSTRACT

Title: NU-ND-UIC Complex Geometry Seminar: Taub-NUT and Ooguri-Vafa: from 2D to 3D
Speaker: Yang Li
Speaker Info: Institute of Advanced Study
Brief Description:
Special Note:
Abstract:

Taub-NUT and Ooguri-Vafa metrics are S^1 invariant Calabi-Yau metrics in complex dimension 2 constructed via the Gibbons-Hawking ansatz. They feature prominently in the complex 2D case of the SYZ conjecture. After reviewing the basics we explain how a number of first principles dictate their construction. This insight enables us to generalize the construction to complex dimension 3, which is expected to be relevant for the SYZ conjecture.