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SUMMARY:Sebastian Heller (Gottfried Wilhelm Leibniz Universität Hannover)
DTSTART:20210429T050000Z
DTEND:20210429T070000Z
DTSTAMP:20260423T035721Z
UID:WiSe/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WiSe/16/">Wh
 at is a hyperkähler manifold?</a>\nby Sebastian Heller (Gottfried Wilhelm
  Leibniz Universität Hannover) as part of What is ...? Seminar\n\n\nAbstr
 act\nA hyperkähler structure is a geometric structure which occurs natura
 lly in different fields such as algebraic geometry\, theoretical physics a
 nd Riemannian geometry.\nFor differential geometers\, a hyperkähler manif
 old is a Riemannian manifold with three anti-\ncommuting\, parallel and or
 thogonal complex structures. The most prominent examples –\nCalabi-Yau m
 anifolds – play an important role in string theory.\n\nAfter discussing 
 the definition and first properties of hyperkähler manifolds\, we will ex
 plain some examples in detail. These examples are either constructed as hy
 perkähler quotients by adapting the symplectic reduction method to the K
 ähler forms or as the space of real holomorphic sections of the associate
 d twistor spaces. If time permits\, we will end the talk by referring to c
 urrent research results.\n
LOCATION:https://researchseminars.org/talk/WiSe/16/
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