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SUMMARY:Léonard Pille-Schneider (ENS)
DTSTART:20230505T120000Z
DTEND:20230505T130000Z
DTSTAMP:20260422T172556Z
UID:TGiZ/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/50/">Th
 e SYZ conjecture for families of hypersurfaces</a>\nby Léonard Pille-Schn
 eider (ENS) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\nAbs
 tract\nLet $X \\to D^*$ be a polarized family of complex Calabi-Yau manifo
 lds\, whose\ncomplex structure degenerates in the worst possible way. The 
 SYZ\nconjecture predicts that the fibers $X_t$\, as $t \\to 0$\, degenerat
 e to a\ntropical object\; and in particular the program of Kontsevich and 
 Soibelman\nrelates it to the Berkovich analytification of $X$\, viewed as 
 a variety over\nthe non-archimedean field of complex Laurent series.\nI wi
 ll explain the ideas of this program and some recent progress in the\ncase
  of hypersurfaces.\n
LOCATION:https://researchseminars.org/talk/TGiZ/50/
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