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SUMMARY:Circle-invariant definite connections and symplectic Fano 6-manifo
 lds - Dmitri Panov (King's College London)
DTSTART:20160627T150000Z
DTEND:20160627T160000Z
UID:TALK66597@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The talk will be based on a joint work with Joel Fine. A defin
 ite connection on&nbsp\;&nbsp\;a four manifold consists of&nbsp\;a&nbsp\;r
 ank three Euclidean&nbsp\;bundle with a metric connection whose curvature 
 is maximally non-degenerate. I will explain why only the four sphere and t
 he complex projective plane admit a definite connection with circle symmet
 ry. The proof relies&nbsp\;on properties of Hamiltonian S^1 actions on sym
 plectic manifolds.
LOCATION:Seminar Room 1\, Newton Institute
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