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SUMMARY:Xavier Caruso (CNRS/Université de Bordeaux)
DTSTART:20210614T140000Z
DTEND:20210614T150000Z
DTSTAMP:20260423T041353Z
UID:LAGeNT/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGeNT/13/">
 Fast evaluation of some p-adic special functions</a>\nby Xavier Caruso (CN
 RS/Université de Bordeaux) as part of Leiden Algebra\, Geometry\, and Num
 ber Theory Seminar\n\n\nAbstract\nIn this talk\, I will present fast algor
 ithms for computing values of p-adic functions which are solutions of a sm
 all linear differential equation. This includes in particular exponentials
 \, polylogarithms\, hypergeometric functions and many special functions ap
 pearing in the cohomology of p-adic fibrations.\nAs an application\, build
 ing upon previous works by Asakura and Kedlaya\, I will derive an algorith
 m for computing special values of the Dwork hypergeometric function with q
 uasi-linear runtime with respect to the target precision.\nJoint work with
  Marc Mezzarobba\, Nobuki Takayama and Tristan Vaccon.\n
LOCATION:https://researchseminars.org/talk/LAGeNT/13/
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