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Benjamin Bakker, Hodge Theory and Lagrangian Fibrations

April 29 @ 4:00 pm - 5:00 pm KST

B236-1, IBS Korea, Republic of

    Speaker

Benjamin Bakker
Univ. Illinois Chicago

Compact hyperkahler manifolds X are higher-dimensional generalizations of K3 surfaces; their geometry is tightly constrained by the existence of a holomorphic symplectic form. For example, a result of Matsushita says the only nontrivial fibration structures f:XB they admit are fibrations by Lagrangian tori. In this talk, I will give an overview of how Hodge theory connects the geometry of B to the variation of these tori in moduli, and how Hodge-theoretic techniques can be used to understand B both locally and globally.

Details

Date:
April 29
Time:
4:00 pm - 5:00 pm KST
Event Category:
Event Tags:

Venue

B236-1
IBS Korea, Republic of

Organizer

Jun-Muk Hwang
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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