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SUMMARY:William Montoya (UNICAMP)
DTSTART:20210602T183000Z
DTEND:20210602T200000Z
DTSTAMP:20260423T004513Z
UID:BRAG/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/49/">An
  extension of the Noether-Lefschetz loci in toric varieties</a>\nby Willia
 m Montoya (UNICAMP) as part of Brazilian algebraic geometry seminar\n\n\nA
 bstract\nIn this talk\, I will motivate and prove a Noether-Lefschetz type
  theorem for quasi-smooth intersections in a projective simplicial toric v
 ariety with suitable conditions\, which implies that the Hodge conjecture 
 holds on a very general quasi-smooth intersection variety and that the nat
 ural extension of the Noether-Lefchetz loci is not empty. The Noether-Lefs
 chetz loci can be understood as the loci where the Hodge conjecture is unk
 nown. If time allows me\, I will also show that the Hodge conjecture is al
 so true for some varieties in the Noether-Lefschetz loci. This is joint wo
 rk with Prof. Ugo Bruzzo.\n
LOCATION:https://researchseminars.org/talk/BRAG/49/
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