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SUMMARY:Characteristic conic connections and torsion-free principal connec
 tions - Jun-Muk  Hwang (Institute for Basic Science)
DTSTART:20240913T090000Z
DTEND:20240913T100000Z
UID:TALK219586@talks.cam.ac.uk
DESCRIPTION:We explain the notion of a cone structure with a characteristi
 c conic connection\, which arises from the theory of minimal rational curv
 es in algebraic geometry. We study the relation between torsion tensors of
  principal connections on G-structures and characteristic conic connection
 s on associated cone structures. We formulate a sufficient condition under
  which the existence of a characteristic conic connection implies the exis
 tence of a torsion-free principal connection. This sufficient condition ho
 lds for adjoint representations of simple Lie algebras different from type
  A or C. This is a joint work with Qifeng Li.
LOCATION:Seminar Room 1\, Newton Institute
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