[SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds

by qsms posted Aug 04, 2022


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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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