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SUMMARY:Matt Olechnowicz (Concordia University)
DTSTART:20250213T200000Z
DTEND:20250213T210000Z
DTSTAMP:20260423T040624Z
UID:ANTS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTS/9/">Bad
  reduction of rational maps.</a>\nby Matt Olechnowicz (Concordia Universit
 y) as part of Calgary Algebra and Number Theory Seminar\n\nLecture held in
  MS 337.\n\nAbstract\nWe show that the reduction of a projective endomorph
 ism modulo a discrete valuation naturally takes the form of a set-theoreti
 c correspondence. This raises the possibility of classifying "reduction ty
 pes" of such dynamical systems\, reminiscent of the additive/multiplicativ
 e dichotomy for elliptic curves. These correspondences facilitate the exac
 t evaluation of certain integrals of dynamical Green's functions\, which a
 rise as local factors in the context of counting rational points ordered b
 y the Call-Silverman canonical height. No prior knowledge of arithmetic dy
 namics will be assumed.\n
LOCATION:https://researchseminars.org/talk/ANTS/9/
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