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DTSTART:20240310T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20241108T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-24
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:TOBIAS SHIN\, UNIVERSITY OF CHICAGO\n\nAlmost complex manifolds
  are (almost) complex\n\nWhat is the difference topologically between an a
 lmost complex\nmanifold and a complex manifold? Are there examples of almo
 st complex\nmanifolds in higher dimensions (complex dimension 3 and greate
 r) which\nadmit no integrable complex structure? We will discuss these two
 \nquestions with the aid of a deep theorem of Demailly and Gaussier\,\nwhe
 re they construct a universal space that induces almost complex\nstructure
 s for a given dimension. A careful analysis of this space\nshows the quest
 ion of integrability of complex structures can be\nphrased in the framewor
 k of Gromov's h-principle. If time permits\, we\nwill conclude with some e
 xamples of almost complex manifolds that\nadmit a family of Nijenhuis tens
 ors whose sup norms tend to 0\, despite\nhaving no integrable complex stru
 cture (joint with L. Fernandez and S.\nWilson).\n\nMC 5417
DTSTAMP:20260505T133122Z
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