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SUMMARY:Anne-Sophie Kaloghiros (Brunel)
DTSTART:20211021T090000Z
DTEND:20211021T100000Z
DTSTAMP:20260423T005827Z
UID:notts_ag/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/76/
 ">The Calabi problem for Fano 3-folds</a>\nby Anne-Sophie Kaloghiros (Brun
 el) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstract\
 nI will discuss progress on the Calabi problem for Fano 3-folds. The 105 d
 eformation families of smooth Fano 3-folds\, were classified by Iskovskikh
 \, Mori and Mukai. We determine whether or not the general member of each 
 of these 105 families admits a Kähler-Einstein metric. In some cases\, it
  is known that while the general member of the family admits a Kähler-Ein
 stein metric\, some other member does not. This leads to the problem of de
 termining which members of a deformation family admit a Kähler-Einstein m
 etric when the general member does. This is accomplished for most of the f
 amilies\, and I will present a conjectural picture for some of the remaini
 ng families. This is a joint project with Carolina Araujo\, Ana-Maria Cast
 ravet\, Ivan Cheltsov\, Kento Fujita\, Jesus Martinez-Garcia\, Constantin 
 Shramov\, Hendrik Süss and Nivedita Viswanathan.\n
LOCATION:https://researchseminars.org/talk/notts_ag/76/
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