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SUMMARY:Ehud Deshalit (Hebrew University of Jerusalem)
DTSTART:20201109T170000Z
DTEND:20201109T175000Z
DTSTAMP:20260422T221245Z
UID:20w5206/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/20w5206/6/">
 Difference equations over fields of elliptic functions</a>\nby Ehud Deshal
 it (Hebrew University of Jerusalem) as part of BIRS workshop: Algebraic Dy
 namics and its Connections to Difference and Differential Equations\n\n\nA
 bstract\nAdamczewski and Bell proved in 2017 a 30-year old conjecture of L
 oxton\nand van der Poorten\, asserting that a Laurent power series\, which
  simultaneously\nsatisfies a p-Mahler equation and a q-Mahler equation for
  multiplicatively independent\nintegers p and q\, is a rational function. 
 Similar looking theorems have been proved by\nBezivin-Boutabaa and Ramis f
 or pairs of difference\, or difference-differential equations.\nRecently\,
  Schafke and Singer gave a unified treatment of all these theorems.\n\nIn 
 this talk we shall discuss a similar theorem for (p\,q)-difference equatio
 ns over fields of\nelliptic functions. Despite having the same flavor\, th
 ere are substantial differences\, having\nto do with issues of periodicity
 \, and with the existence of non-trivial (p\,q)-invariant vector\nbundles 
 on the elliptic curve.\n
LOCATION:https://researchseminars.org/talk/20w5206/6/
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