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UID:eaa0e637ee63037ae1df709b348ce6e3
CATEGORIES:Complex Analysis and Geometry Seminar
CREATED:20240424T111644
SUMMARY:A compactness theorem for hyperkähler 4-manifolds with boundary
LOCATION:Hill 705
DESCRIPTION:<p><span style="color: #222222; font-family: Arial, Helvetica, sans-serif; 
 font-size: 13px; font-style: normal; font-weight: 400; letter-spacing: norm
 al; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; w
 idows: 2; word-spacing: 0px; white-space: normal; background-color: #ffffff
 ; float: none;">A hyperkähler triple on a compact 4-manifold with boundary 
 is a triple of symplectic 2-forms that are pointwise orthonormal with respe
 ct to the wedge product. It defines a Riemannian metric of holonomy contain
 ed in SU(2) and its restriction to the boundary defines a framing. In this 
 talk, I will show that a sequence of hyperkähler triples converges smoothly
  up to diffeomorphims if their restrictions to the boundary converge smooth
 ly up to diffeomorphisms, under certain topological assumptions and the “po
 sitive mean curvature” condition of the boundary framings.</span></p>
CONTACT:Hongyi Liu
DTSTAMP:20260829T151912
DTSTART;TZID=America/New_York:20240426T103000
DTEND;TZID=America/New_York:20240426T113000
SEQUENCE:0
TRANSP:OPAQUE
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