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SUMMARY:Antoine de Saint Germain (University of Hong Kong)
DTSTART:20260209T210000Z
DTEND:20260209T220000Z
DTSTAMP:20260423T035957Z
UID:NTBU/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/41/">Mo
 rdell-Schinzel surfaces and cluster algebras</a>\nby Antoine de Saint Germ
 ain (University of Hong Kong) as part of Boston University Number Theory S
 eminar\n\nLecture held in CDS Room 548 in Boston University.\n\nAbstract\n
 The set of positive integer points of the celebrated Markov surface admits
  the structure of a 3-regular tree. \n\nMy objective in this talk is to un
 veil a similar phenomenon for Mordell-Schinzel surfaces\; namely that the 
 set of positive integer points of each such surface admits the structure o
 f a 2-regular graph. The vertices of each graph naturally correspond to cl
 usters in a suitable (generalised) cluster algebra. \n\nI will then explai
 n how the structure theory of cluster algebras translates into a resolutio
 n of the positive Mordell-Schinzel problem. \n\nThis is partly based on on
 going joint work with Robin Zhang (MIT).\n
LOCATION:https://researchseminars.org/talk/NTBU/41/
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