BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Chenxi Yin (UQAM)
DTSTART:20260130T160000Z
DTEND:20260130T171500Z
DTSTAMP:20260423T024550Z
UID:CIRGET/154
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/154/"
 >Relative uniform Yau-Tian-Donaldson correspondence for projective bundles
  over a curve</a>\nby Chenxi Yin (UQAM) as part of CRM - Séminaire du CIR
 GET / Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nIn
  this talk\, I will present recent joint work with Simon Jubert on a versi
 on of the Yau–Tian–Donaldson correspondence for projective bundles Y=P
 (E) over a curve. By earlier work of Apostolov–Keller\, if a Kähler cla
 ss on Y admits an extremal Kähler metric\, then E must split as a direct 
 sum of stable vector bundles. We show that\, for such E\, a Kähler class 
 on Y admits an extremal Kähler metric if and only if it is relatively uni
 formly K-stable. The proof uses a distinguished family of test configurati
 ons\, called compatible test configurations\, constructed from the horosph
 erical symmetry of the fibers\, together with the framework of weighted co
 nstant scalar curvature Kähler metrics.\n
LOCATION:https://researchseminars.org/talk/CIRGET/154/
END:VEVENT
END:VCALENDAR