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DTSTART;TZID=America/Toronto:20260203T100000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-160
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:CARLO PAGANO\, CONCORDIA UNIVERSITY\n\n_Reconstructing curves f
 rom their Galois set of points_\n\nMazur—Rubin asked to what extent one 
 can reconstruct a curve C over\na number field K from its set of points ov
 er bar(K)\, viewed as a\nGalois set. They asked the same question specific
 ally about the set of\nfields where C acquires new points and gave evidenc
 e for a positive\nanswer for curves of genus 0. In this talk we will pre
 sent upcoming\nwork with Zev Klagsbrun where we provide a positive answer 
 for a\ngeneric pair of elliptic curves with full 2-torsion over a number
 \nfield. The method of proof uses the combination of additive\ncombinatori
 cs and descent introduced in joint work of the speaker and\nKoymans in 202
 4. I will overview several other recent results\nobtained\, by a number of
  authors\, with that method.\n\nMC 5479
DTSTAMP:20260408T022755Z
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