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SUMMARY:Vesselin Dimitrov (University of Toronto)
DTSTART:20200317T203000Z
DTEND:20200317T213000Z
DTSTAMP:20260423T125510Z
UID:MITNT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/1/">An
  arithmetic holonomicity criterion and irrationality of the 2-adic period 
 $\\zeta_2(5)$</a>\nby Vesselin Dimitrov (University of Toronto) as part of
  MIT number theory seminar\n\n\nAbstract\nI will present a new arithmetic 
 criterion for a formal power\nseries to satisfy a linear ODE on an affine 
 curve over a global field.\nThis result characterizes the holonomic functi
 ons by a sharp positivity\ncondition on a suitably defined arithmetic degr
 ee for an adelic set where\na given formal power series is analytic. As an
  application\, based on\nCalegari's method with overconvergent p-adic modu
 lar forms\, we derive an\nirrationality proof of the Leopoldt-Kubota 2-adi
 c zeta value $\\zeta_2(5)$.\nThis is a joint work in progress with Frank C
 alegari and Yunqing Tang.\n
LOCATION:https://researchseminars.org/talk/MITNT/1/
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