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SUMMARY:Arithmetic and algebraic hyperbolicity
DTSTART;VALUE=DATE-TIME:20190919T083000Z
DTEND;VALUE=DATE-TIME:20190919T100000Z
DTSTAMP;VALUE=DATE-TIME:20191018T193124Z
UID:indico-event-4589@indico.math.cnrs.fr
DESCRIPTION:The Green-Griffiths-Lang-Vojta conjectures relate the hyperbol
icity of an algebraic variety to the finiteness of sets of "rational point
s". For instance\, it suggests a striking answer to the fundamental questi
on "Why do some polynomial equations with integer coefficients have only f
initely many solutions in the integers?". Namely\, if the zeroes of such a
system define a hyperbolic variety\, then this system should have only fi
nitely many integer solutions. In this talk I will explain how to verify s
ome of the algebraic\, analytic\, and arithmetic predictions this conjectu
re makes.\n\nhttps://indico.math.cnrs.fr/event/4589/
LOCATION:IMB Salle 318
URL:https://indico.math.cnrs.fr/event/4589/
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