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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20190917T104915Z
DTSTART:20190924T140000Z
DTEND:20190924T150000Z
SUMMARY:Efthymios Sofos (Glasgow) - Multivariate Gaussian distribution fo
r integral points
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}jic-k0glov4
7-x6eoc3
DESCRIPTION:Join us for this research seminar\, part of the Number Theory
Seminar Series. \n\nAbstract : Given a Diophantine equation with "many"
integer solutions\, one may ask what is known about the prime factorisa
tion of the coordinates of the integer solutions. For example\, are ther
e solutions where every coordinate is prime? We study the typical factor
isation of the coordinates of the integer solutions. It turns out that t
he factorisation is characterised by a multivariate Gaussian distributio
n\, which is in line with the classical Erd?sâ€“Kac theorem.\nWhat is unex
pected is that the covariance matrix has an explicit expression via cert
ain geometric invariants associated to the variety defined by the Diopha
ntine equation. Joint work with Daniel El-Baz and Dan Loughran.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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