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UID:7330@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180409T153000
DTEND;TZID=Europe/Paris:20180409T163000
DTSTAMP:20241120T203914Z
URL:https://www.i2m.univ-amu.fr/evenements/a-spatial-approach-to-poincare-
 duality-on-singular-spaces-intersection-space-cohomology/
SUMMARY:Timo Essig (MINT-Kolleg Baden-Württemberg\, Karlsruher Institut f
 ür Technologie (KIT)): A spatial approach to Poincaré duality on singula
 r spaces: intersection space cohomology
DESCRIPTION:Timo Essig: Manifolds have a remarkable hidden symmetry: Poinca
 ré Duality\, which is visible in (co)homology. Particularly\, the ranks o
 f the (co)homology groups of complementary degree are equal. This property
  enables us to understand the topology of manifolds much better\, for exam
 ple by defining and investigating the signature. Singular spaces do not ha
 ve that symmetry in general. To be able to use similar techniques as for m
 anifolds\, one has to replace ordinary (co)homology by an alternative. In 
 this talk\, we present an approach that was introduced by M. Banagl: Inter
 section space (co)homology. We discuss the spatial and the de Rham picture
  for spaces with isolated singularities and talk about the difficulties of
  generalizing the theory to pseudomanifolds with more complicated singular
 ities.\n\nhttps://www.mint-kolleg.kit.edu/mitarbeiter_Essig.php
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Timo_Essig.jpg
CATEGORIES:Séminaire,Dynamique et Topologie
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