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UID:7413@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180115T000000
DTEND;TZID=Europe/Paris:20180119T000000
DTSTAMP:20241216T085226Z
URL:https://www.i2m.univ-amu.fr/evenements/constant-scalar-curvature-metri
 cs-in-kahler-and-sasaki-geometry/
SUMMARY:Conference (CIRM\, Luminy\, Marseille): Constant Scalar Curvature M
 etrics in Kähler and Sasaki Geometry
DESCRIPTION:Conference: COLLOQUE\n"Métriques à courbure scalaire constant
 e en géométrie Kählérienne et Sasakienne"\n-\nThe Yau-Tian-Donaldson c
 onjecture restricted to a particular case has been proved in 2012: the exi
 stence of Kahler-Einstein/Sasaki-Einstein metrics has been related to K-p
 olystability after a breakthrough of X.X Chen\, S.K. Donaldson and S. Sun.
 \nOriginally the Y-T-D conjecture was sketched by the Fields medallist S-T
 . Yau\, and refined later by G. Tian and the Fields medallist S.K. Donalds
 on.\nComplex geometers are turning now to the general version of the Y-T-D
  correspondence about existence of constant scalar curvature (csc) Kahler
 /Sasaki metrics (that do not belong to the anti-canonical class). This gen
 eralization is far from being a trivial question since the csc equation is
  much more difficult (non linear 4-th order PDE\, while the Einstein case 
 turned out to be a Monge-Ampere equation of 2-nd order). Many questions ar
 ise\, and without being exhaustive we shall quote some of them now:\n- how
  to define the right notion of algebraic stability to obtain the correspon
 dence? how to check the stability in practice?\n- what about the degenerat
 ions of metrics in relation with algebraic deformations?\n- what about mod
 uli space of metrics with special curvature properties (compactifications\
 , topological invariants\,...)\;\n- what is happening in the case of toric
  geometry? Can we find explicit ansatz?\n-study of the Calabi flow from th
 e point of view of geometric analysis\;\n-classification in low dimension\
 ;\n-study of the Kähler cone in the perspective of cscK metrics\;\n-rela
 tionship with mathematical physics etc.\n​Young researchers and members 
 of underrepresented groups will be financially helped as much as possible.
 \n-\nOrganization:\n- Hugues Auvray (Univ. Paris-Sud)\n- Hongnian Huang (U
 niv. New Mexico)\n- Julien Keller (I2M\, Marseille)\n- Eveline Legendre (U
 niv. Paul Sabatier)\n- Rosa Sena Dias (IST\, Portugal)\n\nPartners:\n- Age
 nce Nationale de la Recherche (ANR)\n- Fédération CARMIN\n- Centre Inter
 national de Rencontres Mathématiques (CIRM)\n- Centre National de la Rech
 erche Scientifique (CNRS)\n- Institut de Mathématiques de Marseille (I2M)
 \n- Institut de Mathématiques de Toulouse (IMT)\n- LabEx Archimède\n- Na
 tional Science Foundation (NSF)\n- Université Paris-Sud\n\n-\n\nSite web 
 du colloque\n-\nAutre lien : CIRM
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 016/06/image_agt-arxiv0907.1387-quintic_3-folds-fig.8-keller-lukic-x250.jp
 g
CATEGORIES:Colloque
LOCATION:Luminy - CIRM\, 163 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy - CIRM:geo:0,0
END:VEVENT
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TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:STANDARD
DTSTART:20171029T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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