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SUMMARY:Matthieu Piquerez (l'École Polytechnique)
DTSTART:20201216T143000Z
DTEND:20201216T153000Z
DTSTAMP:20260423T021648Z
UID:Rega/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Rega/7/">Tro
 pical Hodge theory and the tropical Hodge conjecture</a>\nby Matthieu Piqu
 erez (l'École Polytechnique) as part of RéGA (Réseau des étudiants en 
 Géométrie Algébrique)\n\n\nAbstract\nClassical Hodge theory explains us
  that the cohomology of a smooth projective complex variety verifies a lot
  of nice properties. After a few reminders about classical Hodge theory an
 d about tropical varieties\, I will present a tropical analogous of these 
 properties for the cohomology of a tropical variety [arXiv:2007.07826]. Th
 is tropical Hodge theory is strongly linked to combinatorial Hodge theory\
 , as well as to the limit of families of complex varieties. I will only de
 tail the latter. This will allow me to talk about the tropical Hodge conje
 cture and to discuss its links with the classical Hodge conjecture. Finall
 y\, I will present a work in preparation with O. Amini where we use the tr
 opical Hodge theory to prove the tropical Hodge conjecture for rationally 
 triangulable tropical varieties.\n
LOCATION:https://researchseminars.org/talk/Rega/7/
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