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SUMMARY:James Stanfield (University of Queensland)
DTSTART:20220419T080000Z
DTEND:20220419T090000Z
DTSTAMP:20260423T021220Z
UID:DGSTO/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DGSTO/32/">C
 ompact Gauduchon-Flat Hermitian manifolds</a>\nby James Stanfield (Univers
 ity of Queensland) as part of Differential Geometry Seminar Torino\n\n\nAb
 stract\nOn a non-Kähler Hermitian manifold\, the complex structure is not
  parallel with respect to the Levi-Civita connection. Instead\, it is natu
 ral to consider non-symmetric connections compatible with both metric and 
 complex structures. In the 90's\, Gauduchon identified a canonical one-par
 ameter family of such Hermitian connections which includes the Chern and B
 ismut connections. In this talk we will discuss some recent progress in un
 derstanding the geometry of these so-called Gauduchon connections\, detail
 ing a proof of a conjecture of Yang and Zheng. Namely that other than the 
 Chern or Bismut cases\, compact Hermitian manifolds with flat Gauduchon co
 nnections are Kähler.\n
LOCATION:https://researchseminars.org/talk/DGSTO/32/
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