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SUMMARY:Difference fields and descent of difference varieties - Chatzidaki
 s\, Z (Paris 7 - Denis-Diderot)
DTSTART:20090512T153000Z
DTEND:20090512T163000Z
UID:TALK18390@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this talk I will state and explain a few results of descent
  of difference varieties which can be obtained using model theoretic tools
 . \nThe typical statement is the following: Let K_1 and K_2 be difference 
 fields\, and V_i\, i=1\,2\, difference varieties defined over K_i. Assume 
 that there is a dominant rational difference morphism from V_1 onto V_2. \
 nThen V_2 in turns dominates some difference variety defined over K=K_1
p 
 K_2. This result is of course not true as stated\, and we explain which hy
 potheses make it valid. In particular it gives an alternate proof of a res
 ult of M. Baker on algebraic dynamics and generalises it to higher dimensi
 ons. This is joint work with Ehud Hrushovski.\n\n\nExtended abstract\, at 
 http://www.logique.jussieu.fr/~zoe/papiers/Leeds09.pdf\n
LOCATION:Satellite
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