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UID:8030@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150629T000000
DTEND;TZID=Europe/Paris:20150710T000000
DTSTAMP:20241120T205631Z
URL:https://www.i2m.univ-amu.fr/evenements/gauge-theory-and-complex-geomet
 ry-morlet-chair-francois-lalonde/
SUMMARY:Pairs (CIRM\, Luminy\, Marseille): Gauge Theory and Complex Geometr
 y (Morlet Chair - François Lalonde)
DESCRIPTION:Pairs: \n\n\n\n CIRM - Jean-Morlet Chair \n François Lalonde &
 amp\; Andrei Teleman\n\nModuli Spaces in Symplectic Topology and Gauge T
 heory\n\nEspaces de modules en topologie symplectique et théorie de Jauge
  \n\n\n 2015 - semester 2 \n\n\n\n\n\n\n\n\n\n\n\nRESEARCH IN PAIRS\nGauge
  Theory and Complex Geometry (1582)\nThéorie de Jauge et géométrie comp
 lexe\nDates : 29 June - 10 July 2015 at CIRM (Marseille Luminy\, France) 
  \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nDESCRIPTION\n\nThe first topic of this R
 esearch in Pairs related to Teleman's approach to prove the existence of c
 urves on class VII surfaces\,  using Donaldson theory (see [Te1]-[Te3]) a
 nd the Kobayashi-Hitchin correspondence (which identifies moduli spaces of
  instantons with moduli spaces of stable bundles). The collaboration of th
 e four participants in this project took into account the newest developme
 nts on the classification of non-Kählerian surfaces obtained using this a
 pproach\, and also considered new related problems\, for instance: compari
 ng the holomorphic deformations of a given class VII surface with the the 
 holomorphic deformations of the associated moduli space\, describing expli
 citly moduli stacks of class VII surfaces.\n\nThe second topic was concern
 ed with moduli theory for holomorphic bundles on higher dimensional compac
 t complex manifolds with emphasis on compactification problems. The starti
 ng point was the article [GT]\, in which the authors construct a modular c
 ompactification of the moduli space of vector bundles which are slope-stab
 le with respect to an ample divisor\, which generalizes the algebro-geomet
 ric construction of the Donaldson-Uhlenbeck compactification for complex s
 urfaces.\n\nWe had in mind and discussed interesting interactions between 
 the two topics\, for instance: Can one extend Greb-Toma's results to Kähl
 erian non-algebraic and non-Kählerian manifolds? Can one use such compact
 ified moduli spaces to prove the existence of proper analytic cycles on ce
 rtain higher dimensional non-algebraic manifolds?\n\n\n \n\nPARTICIPANTS\
 n\n\n 	Nicholas Buchdahl (University of Adelaide)\n 	Georges Dloussky (A
 ix-Marseille Université)\n 	Andrei Teleman (Aix-Marseille Université)\n
  	Matei Toma (Université de Lorraine)\n\n\n\n\n\n  \n\n\n\n\n\n\n\n\n\n\
 n\n
CATEGORIES:Manifestation scientifique,Morlet Chair Semester,Morlet
 Research in Pairs
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