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SUMMARY:Birational Models of Elliptic Fibrations
DTSTART;VALUE=DATE-TIME:20210209T060000Z
DTEND;VALUE=DATE-TIME:20210209T070000Z
DTSTAMP;VALUE=DATE-TIME:20210228T135057Z
UID:indico-event-406@cern.ch
DESCRIPTION:Elliptic fibrations are varieties which admit a fiber structur
e whose general fibers are elliptic curves. They are frequently considered
test cases in algebraic geometry as a special case of fibrations of varie
ties with trivial canonical divisors (e.g. fibration of Calabi-Yau varieti
es). This is of interest in the study of Calabi-Yau varieties since if a C
alabi-Yau variety admits a non-trivial fibration structure\, then it neces
sarily has to be a fibration of lower dimensional varieties with trivial c
anonical divisors. Thus\, these fibrations are geometric structures that a
llow for study of the variety itself through studying the bases and the fi
bers of the fibrations. This idea is of particular importance to F-theory\
, which uses elliptically fibered Calabi-Yau varieties as mathematical mod
els to study aspects of String Theory. We have that case of 6D F-theory is
well studied due in part to the study of elliptic Calabi-Yau threefolds\,
yet moving on to the case of 4D F-theory is more difficult since this req
uires a mathematical understanding of elliptic Calabi-Yau fourfolds\, much
of which is not as well developed or as well behaved as in the threefold
case. In this talk\, I will discuss the problems of generalizing the birat
ional aspects of elliptic Calabi-Yau threefold cases to the situation of e
lliptic Calabi-Yau fourfolds.\n\nhttps://indico.ibs.re.kr/event/406/
LOCATION:zoom meeting
URL:https://indico.ibs.re.kr/event/406/
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