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SUMMARY:Alexandru Buium
DTSTART:20201123T170000Z
DTEND:20201123T180000Z
DTSTAMP:20260423T053132Z
UID:UNYONTC/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UNYONTC/12/"
 >Solutions to arithmetic differential equations in the p-adic complex fiel
 d</a>\nby Alexandru Buium as part of Upstate New York Online Number Theory
  Colloquium\n\n\nAbstract\nArithmetic differential equations are analogues
  of differential equations\nin which derivatives of functions are replaced
  by Fermat quotients of numbers.\nIn its original form this theory would o
 nly allow the consideration of solutions to\nsuch equations  in unramified
  extensions of the p-adic integers. Recently\, L.Miller\nand the author sh
 owed that the `main examples' of arithmetic differential equations\nin the
  theory possess a remarkable differential overconvergence property. This\n
 allows the consideration (and study) of their solutions in the ring of int
 egers of\nthe  p-adic complex field.\n
LOCATION:https://researchseminars.org/talk/UNYONTC/12/
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