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SUMMARY:Galois theories for difference equations I. (Tutorial) - Singer\, 
 M (North Carolina State)
DTSTART:20090511T083000Z
DTEND:20090511T093000Z
UID:TALK18417@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The aim of these two talks is to show how group theory can be 
 used to derive properties of solutions of difference equations. The tools 
 to do this are provided by Galois theories\, which allow us to link groups
  to difference equations. I will give an elementary introduction to two su
 ch theories and show how they can be used to describe algebraic properties
  of sequences satisfying recurrence relations as well as differential prop
 erties of functions satisfying functional equations. For example\, I will 
 show how one can reprove and generalize Hoelder's result that the Gamma fu
 nction satisfies no algebraic differential equation. 
LOCATION:Satellite
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