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UID:8933@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251205T160000
DTEND;TZID=Europe/Paris:20251205T170000
DTSTAMP:20251201T203332Z
URL:https://www.i2m.univ-amu.fr/evenements/4-dimensional-smooth-topology-f
 rom-the-automorphism-point-of-view-2/
SUMMARY:David Gay (University of Georgia): 4-dimensional smooth topology fr
 om the automorphism point of view
DESCRIPTION:David Gay: Topology in dimension four exhibits a great deal of 
 poorly understood exotic behavior\, where "exotic" means behavior that see
 ms trivial from a continuous (topological) point of view but highly nontri
 vial from a differentiable (smooth) point of view. The miracle is not so m
 uch that such behavior exists but that one can actually prove that it exis
 ts\; this typically relies on Freedman's work in the topological category\
 , which led to the proof of the 4-dimensional topological Poincaré conjec
 ture\, and gauge theory in the smooth category\, beginning with Donaldson'
 s work\, obstructing smooth triviality by counting solutions to PDE's. Mos
 t of the focus in this work has been on the objects\, namely the 4-manifol
 ds themselves\, but as we all know well\, morphisms are just as important 
 as objects! This talk is a survey of some history and some recent work rel
 ated to understanding the difference between smooth and topological for au
 tomorphisms of smooth 4-manifolds.
CATEGORIES:Colloquium
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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DTSTART:20251026T020000
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