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SUMMARY:Chung-Ming Pan (UQAM)
DTSTART:20250110T160000Z
DTEND:20250110T171500Z
DTSTAMP:20260423T005701Z
UID:CIRGET/132
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/132/"
 >Singular Gauduchon metrics and Hermite-Einstein problem on non-Kähler va
 rieties</a>\nby Chung-Ming Pan (UQAM) as part of CRM - Séminaire du CIRGE
 T / Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nGaud
 uchon metrics are very useful generalizations of Kähler metrics in non-K
 ähler geometry\, as Gauduchon proved that these special metrics always ex
 ist on compact complex manifolds. One of their important applications is d
 efining the notion of stability for vector bundles/sheaves on non-Kähler 
 manifolds. It also leads the study of the existence of Hermite-Einstein me
 trics and the classification of non-Kähler surfaces. In this talk\, I wil
 l first introduce the singular version of Gauduchon's theorem and its appl
 ication to the Hermite-Einstein problem for stable reflexive sheaves on no
 n-Kähler normal varieties. Then\, I will explain one of the main technica
 l points that lies in obtaining uniform Sobolev inequalities for perturbed
  hermitian metrics on a resolution of singularities.\n
LOCATION:https://researchseminars.org/talk/CIRGET/132/
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