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SUMMARY:Edvard Aksnes (U. Oslo)
DTSTART:20220325T140000Z
DTEND:20220325T150000Z
DTSTAMP:20260423T021058Z
UID:LAGARTOS/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/40/
 ">Tropical Poincaré duality spaces</a>\nby Edvard Aksnes (U. Oslo) as par
 t of (LAGARTOS) Latin American Real and Tropical Geometry Seminar\n\n\nAbs
 tract\nItenberg\, Katzarkov\, Mikhalkin and Zharkov introduced tropical ho
 mology and\ncohomology groups for tropical varieties. These groups are rel
 ated by a cap product\nmap. When this cap product is an isomorphism\, the 
 tropical variety is called a\nTropical Poincaré duality (TPD) space. Berg
 man fans of matroids are TPD spaces\nby a result of Jell\, Smacka and Shaw
 . In this talk\, we give criteria for when a fan is\na TPD space at all it
 s faces. Such spaces are called smooth in recent work of Amini\nand Piquer
 ez\, and satisfy certain cohomological restrictions. We also classify TPD\
 nspaces of dimension one. We will conclude with some examples and open que
 stions.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/40/
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