A conical approximation of constant scalar curvature K\”{a}hler metrics of Poincar\’{e} type and log K-semistability

Abstract: Guenancia proved that a K\”{a}hler-Einstein metric of Poincar\’{e} type is the limit of a sequence of K\”{a}hler-Einstein metrics with cone singularities along a smooth divisor. In this talk, I will explain the recent result which is an analogue of Guenancia’s result for constant scalar curvature K\”{a}hler metrics. In addition, I will explain that constant scalar curvature K\”{a}hler metrics of Poincar\’{e} type implies log K-semistability with angle 0.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

Comments: Note that the talk will take place in Boyer room PK-5675

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CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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