qsms.math.snu.ac.kr - [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds

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일정시작	2022-08-11
일정종료	2022-08-11
배경색상	#FF5733

일정시작

2022-08-11

일정종료

2022-08-11

배경색상

#FF5733

Date : 2022-08-11 (Thu) 11:00 AM
Place : 27-116 (SNU)
Speaker : 김윤주 (University of Bonn)
Title : The dual Lagrangian fibration of hyper-Kähler manifolds
Abstract :

A (compact) hyper-Kähler manifold X is a higher dimensional generalization of a K3 surface. It is often interesting to study its special morphism X -> B, called a Lagrangian fibration of X. Any Lagrangian fibration of a K3 surface is always "self-dual", so one does not need to worry about how to construct its dual. This is no longer the case for higher-dimensional hyper-Kähler manifolds and their Lagrangian fibrations. In this talk, I will propose a construction for the dual Lagrangian fibration for all currently known examples of hyper-Kähler manifolds.

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