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SUMMARY:Edvard Aksnes (University of Oslo)
DTSTART:20230302T200000Z
DTEND:20230302T210000Z
DTSTAMP:20260423T005706Z
UID:Matroids/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/39/
 ">Tropical Poincaré duality spaces</a>\nby Edvard Aksnes (University of O
 slo) as part of Matroids - Combinatorics\, Algebra and Geometry Seminar\n\
 nLecture held in Room 210 The Fields Institute.\n\nAbstract\nBergman fans 
 of matroids are the tropical equivalent of linear spaces. In the context o
 f tropical homology\, such fans can be shown to satisfy tropical Poincaré
  duality\, i.e. a duality between tropical homology and cohomology. Thanks
  to work of Amini and Piquerez\, satisfying tropical Poincaré duality is 
 related to the combinatorial Hodge theory of the Matroid Chow ring of Adip
 rasito-Huh-Katz. In this talk\, we will give some results on the problem o
 f classifying which fans satisfy tropical Poincaré duality\, and give som
 e perspectives on recent work relating tropical Poincaré duality and the 
 cohomology of subvarieties of tori.\n
LOCATION:https://researchseminars.org/talk/Matroids/39/
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