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BEGIN:VEVENT
DTSTAMP:20231002T085615Z
DTSTART:20231010T140000Z
DTEND:20231010T150000Z
SUMMARY:Manchester Number Theory Seminar - Julia Stadlmann
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DESCRIPTION:Speaker: Julia Stadlmann (Oxford)\n\nTitle: Primes in arithme
tic progressions to smooth moduli\n\nAbstract: The twin prime conjecture
asserts that there are infinitely many primes p for which p+2 is also p
rime. This conjecture appears far out of reach of current mathematical t
echniques. However\, in 2013 Zhang achieved a breakthrough\, showing tha
t there exists some positive integer h for which p and p+h are both prim
e infinitely often. Equidistribution estimates for primes in arithmetic
progressions to smooth moduli were a key ingredient of his work. In this
talk\, I will sketch what role these estimates play in proofs of bounde
d gaps between primes. I will also show how a refinement of the q-van de
r Corput method can be used to improve on equidistribution estimates of
the Polymath project for primes in APs to smooth moduli.\n\nRoom: Frank
Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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