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SUMMARY:Wataru Kai (Tohoku University)
DTSTART:20231108T160000Z
DTEND:20231108T170000Z
DTSTAMP:20260418T063533Z
UID:LNTS/113
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/113/">L
 inear patterns of prime elements in number fields</a>\nby Wataru Kai (Toho
 ku University) as part of London number theory seminar\n\nLecture held in 
 Room 140\, the Huxley Building\, Imperial College London.\n\nAbstract\nI w
 ill discuss my recent result that gives a sufficient condition for a set o
 f finitely many polynomials of degree 1 with coefficients in a number ring
  to attain simultaneous prime values. This extends a 2012 theorem of Green
 -Tao-Ziegler from the case of Z to the general case. Time permitting\, I w
 ill mention how this can be applied to produce (modestly) new families of 
 varieties over number fields which satisfy the Hasse principle for rationa
 l points by using the so-called fibration methods.\n
LOCATION:https://researchseminars.org/talk/LNTS/113/
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