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SUMMARY:Ethan Addison (Notre Dame Univ.)
DTSTART:20220114T160000Z
DTEND:20220114T171500Z
DTSTAMP:20260423T022742Z
UID:CIRGET/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/55/">
 Generalizing Poincaré-Type Kähler Metrics</a>\nby Ethan Addison (Notre D
 ame Univ.) as part of CRM - Séminaire du CIRGET / Géométrie et Topologi
 e\n\n\nAbstract\nPoincaré-type metrics are a type of complete cusp metric
  defined on the complement of a complex hypersurface $X$ in an ambient man
 ifold\, yet a result by Auvray shows that constant scalar curvature metric
 s of Poincaré-type always split into a product of cscK metrics in each of
  the ends\, inducing a cscK metric on $X$. We prove a result about \\emph{
 gnarled} Poincaré-type metrics using holomorphic flows on $X$ to construc
 t complete cscK metrics near the ends which are perturbations of cscK Poin
 caré-type metrics\, even when the induced perturbed Kähler class on $X$ 
 does not admit a cscK metric\, thus generalizing the initial flavor of met
 ric to one with fewer restrictions.\n
LOCATION:https://researchseminars.org/talk/CIRGET/55/
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