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SUMMARY:Finite quotients of abelian varieties with a Calabi-Yau resolution
DTSTART:20220428T141500
DTEND:20220428T154500
DTSTAMP:20260921T093822Z
UID:b71d91764c89f1474457f155f44e380987812967952feb46dea461da
CATEGORIES:Conferences - Seminars
DESCRIPTION:Cécile Gachet (Univerité Côte d'Azur\, Nice)\nLet G be a gr
 oup acting freely in codimension 1 on an abelian variety A. In terms of th
 e Beauville-Bogomolov decomposition\, the singular quotient A/G has the ty
 pe of an abelian variety\, whereas its terminalization (or its crepant res
 olution\, if there is one) could be a hyperkähler or a Calabi-Yau variety
 : the Kummer surface is an example along these lines.\n\nIn this talk\, I 
 show that however\, A/G has no simply-connected crepant resolution when as
 suming that G acts freely in codimension 3. \n\nIf G acts freely in codim
 ension 2\, there are\, due to K. Oguiso\, exactly two threefolds A/G with 
 a Calabi-Yau resolution. I show that there are no such fourfolds.
LOCATION:CM 0 9 https://plan.epfl.ch/?room==CM%200%209
STATUS:CONFIRMED
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