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SUMMARY:Refined Chabauty–Kim for the thrice-punctured line [MPIM]
DTSTART:20250423T123000Z
DTEND:20250423T133000Z
DTSTAMP:20260416T083900Z
UID:indico-event-347@math-events.uni-bonn.de
DESCRIPTION:Number theory lunch seminar\nIf X is a curve of genus at least
  two defined over the rational numbers\, we know by Faltings's Theorem tha
 t the set X(Q) of rational points is finite\, but how to systematically co
 mpute it is still an open problem. In 2005\, Minhyong Kim proposed a new f
 ramework for studying rational (or S-integral) points on curves\, called C
 habauty–Kim theory. It aims to produce p-adic analytic functions on X(Q_
 p) containing the rational points X(Q) in their zero locus. I will give a 
 brief introduction to Chabauty–Kim theory and present some applications 
 to the S-unit equation.\n\nhttps://math-events.uni-bonn.de/event/347/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/347/
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