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SUMMARY:Xiang He (Hebrew University)
DTSTART:20200904T140000Z
DTEND:20200904T150000Z
DTSTAMP:20260423T021008Z
UID:LAGARTOS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/5/"
 >A tropical approach to the Severi problem</a>\nby Xiang He (Hebrew Univer
 sity) as part of (LAGARTOS) Latin American Real and Tropical Geometry Semi
 nar\n\n\nAbstract\nSeveri varieties parameterize reduced irreducible curve
 s of given geometric genus in a given linear system on an algebraic surfac
 e. The irreducibility of Severi varieties is established firstly by Harris
  in 1986 for the projective plane in characteristic zero. In this talk\, I
  will give a brief overview of the ideas involved\, and describe a tropica
 l approach to studying degererations of plane curves\, which leads to a ne
 w proof of the irreducibility that also works in positive characteristic. 
 This is joint work with Karl Christ and Ilya Tyomkin.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/5/
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