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CATEGORIES:Algebraic Geometry Seminar
SUMMARY:K-stability and deformations of complex structures
  - Carlo Scarpa\, Scuola Internazionale Superiore 
 di Studi Avanzati
DTSTART;TZID=Europe/London:20220216T141500
DTEND;TZID=Europe/London:20220216T151500
UID:TALK168581AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/168581
DESCRIPTION:A famous conjecture in complex geometry predicts t
 hat the \nexistence of Kaehler metrics with specia
 l curvature properties on a \nprojective manifold 
 can be characterized by an algebro-geometric \nsta
 bility notion\, K-stability. In this talk\, we gen
 eralize this picture \nby taking into account the 
 additional data of a first order deformation \nof 
 the manifold\, which plays the role of a Higgs fie
 ld for the category \nof Kaehler manifolds. We wil
 l then prove a version of the appropriately \ngene
 ralized stability conjecture in the context of tor
 ic manifolds.
LOCATION:CMS MR13
CONTACT:Dhruv Ranganathan
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