Seminar Event Detail


Algebraic Geometry

Date:  Wednesday, November 17, 2021
Location:  4096 East Hall (4:00 PM to 5:30 PM)

Title:  The dual Lagrangian fibration of compact hyperKaehler manifolds

Abstract:   A compact hyperKaehler manifold is a higher dimensional generalization of a K3 surface. An elliptic fibration of a K3 surface correspondingly generalizes to the so-called Lagrangian fibration of a compact hyperKaehler manifold. It is known that an elliptic fibration of a K3 surface is always self-dual in a certain sense. This turns out to be not the case for higher-dimensional Lagrangian fibrations. In this talk, I will propose a construction for the dual Lagrangian fibration of all currently known examples of compact hyperKaehler manifolds, and try to justify this.

Files:


Speaker:  Yoon-joo Kim
Institution:  Stony Brook University

Event Organizer:     

 

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