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SUMMARY:Joni Teräväinen (University of Cambridge)
DTSTART:20250319T160000Z
DTEND:20250319T170000Z
DTSTAMP:20260418T070221Z
UID:LNTS/153
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/153/">O
 n the exceptional set in the $abc$ conjecture</a>\nby Joni Teräväinen (U
 niversity of Cambridge) as part of London number theory seminar\n\nLecture
  held in Room 505\, Department of Mathematics (25 Gordon St)\, University 
 College London.\n\nAbstract\nThe well-known $abc$ conjecture asserts that 
 for any coprime triple of positive integers satisfying $a+b=c$ the squaref
 ree radical of $abc$ satisfies a certain strong inequality. In this talk\,
  I will discuss a proof giving the first power-saving improvement over the
  trivial bound for the number of exceptions to this conjecture. The proof 
 is based on a combination of various methods for counting rational points 
 on curves\, and a combinatorial analysis to patch these cases together. Th
 is is joint work with Tim Browning and Jared Lichtman.\n
LOCATION:https://researchseminars.org/talk/LNTS/153/
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