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SUMMARY:Sabrina Pauli (Universität Duisburg-Essen)
DTSTART:20221125T130000Z
DTEND:20221125T140000Z
DTSTAMP:20260422T172515Z
UID:TGiZ/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/44/">Qu
 adratically enriched tropical intersections 1</a>\nby Sabrina Pauli (Unive
 rsität Duisburg-Essen) as part of Tropical Geometry in Frankfurt/Zoom TGi
 F/Z\n\n\nAbstract\nTropical geometry has been proven to be a powerful comp
 utational tool in enumerative geometry over the complex and real numbers. 
 Results from motivic homotopy theory allow to study questions in enumerati
 ve geometry over an arbitrary field k.\nIn these two talks we present one 
 of the first examples of how to use tropical geometry for questions in enu
 emrative geometry over k\, namely a proof of the quadratically enriched B
 ézout's theorem for tropical curves.\n\nIn the first talk we explain what
  we mean by the "quadratic enrichment"\, that is we define the necessary n
 otions of enumerative geometry over arbitrary fields valued in the Grothen
 dieck-Witt ring of quadratic forms over k.\n
LOCATION:https://researchseminars.org/talk/TGiZ/44/
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