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SUMMARY:Kęstutis Česnavičius
DTSTART:20210417T083000Z
DTEND:20210417T093000Z
DTSTAMP:20260423T010132Z
UID:Bourbaki/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Bourbaki/4/"
 >Reconstructing a variety from its topology\, after Kollár\, building on 
 earlier work of Lieblich\, Olsson</a>\nby Kęstutis Česnavičius as part 
 of Séminaire Bourbaki (Samedi)\n\n\nAbstract\nAs part of the structure of
  a projective variety\, one remembers not only the topological subspace cu
 t out in projective space by the vanishing of defining homogeneous polynom
 ials\, but also a sheaf of rings on that subspace. One may wonder to what 
 extent the topological space alone determines the variety. In spite of cou
 nterexamples in low dimension\, such determination turns out to hold in su
 fficiently high dimension for normal\, projective\, geometrically irreduci
 ble varieties in characteristic 0. The latter is a recent result of Kollá
 r (that builds on earlier work of Lieblich and Olsson) and it will be the 
 subject of this talk.\n
LOCATION:https://researchseminars.org/talk/Bourbaki/4/
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