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SUMMARY:Juan Pablo de Rasis (Ohio State University)
DTSTART:20250306T190000Z
DTEND:20250306T200000Z
DTSTAMP:20260423T021439Z
UID:OLS/173
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/173/">De
 finability problems regarding Campana points and Darmon points</a>\nby Jua
 n Pablo de Rasis (Ohio State University) as part of Online logic seminar\n
 \n\nAbstract\nCampana points and Darmon points arise in algebraic geometry
  to generalize m-full integers and perfect m-th powers\, respectively\, to
  more arbitrary varieties. In this talk we will study the problem of defin
 ing these objects over number fields using first-order language\, and we w
 ill conclude by building on a result by Fritz\, Pasten\, and Pheidas which
  shows that the diophantineness of Campana points on complex rational func
 tions in one variable is incompatible with Kollar's conjecture\, an argume
 nt that can be easily adapted for Darmon points as well. This will motivat
 e further research on the analogous definability of these sets over C(z).\
 n
LOCATION:https://researchseminars.org/talk/OLS/173/
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