mu-cscK metrics and muK-stability of polarized manifolds
Eiji Inoue (Tokyo Univ.)
Abstract: I will talk about a framework unifying both the frameworks on "cscK metrics and K-stability of polarized manifolds" and "Kahler-Ricci solitons and modified K-stability of Fano manifolds". There are two divided contents as follows.
1. Formulation of mu-cscK metrics and brief remarks on results parallel to the usual canonical metrics. On some attractive special features/phenomenon of mu-cscK metrics; "extremal limit" and "phase transition". On a little examples.
2. How to formulate/derive/express mu-Futaki invariant of test configurations with general singularities. On a counterpart of CM line bundle for muK-stability.
If time permits, I will also propose future problems/projects and its applications, especially towards the algebraic moduli problems of Fano varieties admitting Kahler-Ricci solitons.
algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometryrepresentation theorysymplectic geometry
Audience: researchers in the topic
( paper )
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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The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).
The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA
Organizers: | Julien Keller*, Duncan McCoy |
*contact for this listing |