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UID:8932@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251216T160000
DTEND;TZID=Europe/Paris:20251216T170000
DTSTAMP:20251201T141517Z
URL:https://www.i2m.univ-amu.fr/evenements/4-dimensional-smooth-topology-f
 rom-the-automorphism-point-of-view/
SUMMARY:David Gay (Université de Géorgie): 4-dimensional smooth topology 
 from the automorphism point of view
DESCRIPTION:David Gay: \nTopology in dimension four exhibits a great deal o
 f poorly understood exotic behavior\, where "exotic" means behavior that s
 eems trivial from a continuous (topological) point of view but highly nont
 rivial from a differentiable (smooth) point of view. The miracle is not so
  much that such behavior exists but that one can actually prove that it ex
 ists\; this typically relies on Freedman's work in the topological categor
 y\, which led to the proof of the 4-dimensional topological Poincaré conj
 ecture\, and gauge theory in the smooth category\, beginning with Donaldso
 n's work\, obstructing smooth triviality by counting solutions to PDE's. M
 ost of the focus in this work has been on the objects\, namely the 4-manif
 olds themselves\, but as we all know well\, morphisms are just as importan
 t as objects! This talk is a survey of some history and some recent work r
 elated to understanding the difference between smooth and topological for 
 automorphisms of smooth 4-manifolds.\n
CATEGORIES:Colloquium,Morlet Chair Semester
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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