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SUMMARY:Arithmetic hyperbolicity
DTSTART;VALUE=DATE-TIME:20190920T083000Z
DTEND;VALUE=DATE-TIME:20190920T093000Z
DTSTAMP;VALUE=DATE-TIME:20210124T190836Z
UID:indico-event-5034@indico.math.cnrs.fr
DESCRIPTION:\nThe Green-Griffiths-Lang-Vojta conjectures relate the hyperb
olicity of an algebraic variety to the finiteness of sets of "rational poi
nts" over number fields. For instance\, it suggests a striking answer to t
he fundamental question "Why do some polynomial equations with integer coe
fficients have only finitely many solutions in the integers?". Namely\, if
the zeroes of such a system define a hyperbolic variety\, then this syste
m should have only finitely many integer solutions. In this talk I will ex
plain how to verify some of the algebraic\, analytic\, and arithmetic pred
ictions this conjecture makes. The talk will be a mixture of arithmetic g
eometry and complex geometry.\n\n \n\n\n \n\n\n\nhttps://indico.math.cnr
s.fr/event/5034/
LOCATION:ICJ 112
URL:https://indico.math.cnrs.fr/event/5034/
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