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UID:20260523T214525EDT-9514vr0Xdt@132.216.98.100
DTSTAMP:20260524T014525Z
DESCRIPTION:Title: On Weighted Twisted K-Energy and Its Applications.\n\nAb
 stract: I will discuss the convexity of the twisted Mabuchi K-energy along
  weak geodesics in the finite-energy space E^1. This functional is a gener
 alization of the classical Mabuchi K-energy (associated to the constant sc
 alar curvature Kähler problem\, cscK in short) and allows us to deal with 
 mixed cusp and conic singularities. I will then explain why coercivity of 
 the twisted Mabuchi K-energy is an open condition with respect to perturba
 tions of the cone angle. As applications\, this gives openness for the exi
 stence of cscK cone metrics and shows that coercivity at the cusp limit im
 plies the existence of cscK cone metrics for small cone angles. If time pe
 rmits\, I will also briefly indicate how these results extend to more gene
 ral geometric PDEs.\n
DTSTART:20260430T184500Z
DTEND:20260430T194500Z
LOCATION:Room 1234\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Xiao Xia (UQAM)
URL:/mathstat/channels/event/xiao-xia-uqam-372793
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