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SUMMARY:Yury Ustinovskiy (Lehigh University)
DTSTART:20220526T160000Z
DTEND:20220526T170000Z
DTSTAMP:20260418T165245Z
UID:GTACoS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTACoS/6/">G
 eneralized Ricci flow and its solitons in complex geometry</a>\nby Yury Us
 tinovskiy (Lehigh University) as part of Geometry & TACoS - Session VIII :
  Complex Geometric Flows\n\n\nAbstract\nGeneralized Ricci flow is a natura
 l flow coupling the Ricci flow with an evolution equation for a closed 3-f
 orm. This flow emerges in two  different settings in complex geometry expa
 nding the applicability of the Ricci flow beyond the world of Kähler mani
 folds. The purpose of the talk is to explain how the steady soliton equati
 ons for this flow give rise to the notions of canonical metrics in non-Kä
 hler and bi-Hermitian complex geometry. The corresponding differential equ
 ations have been long known in physics\, so the description and classifica
 tion of compact/complete solutions is of great interest. We show how the r
 ich complex-geometric structure of the underlying manifolds allows for the
  adaptation of many methods of the Kähler geometry to the study of the Ge
 neralized Ricci flow and its solitons.\n
LOCATION:https://researchseminars.org/talk/GTACoS/6/
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