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BEGIN:VEVENT
LOCATION:60 Evans Hall
SEQUENCE:0
DTEND:20081205T180000
DTSTART:20081205T161000
UID:philosophy.berkeley.edu:events:496
DTSTAMP:20091124T183459
DESCRIPTION:   In algebraic dynamics\, one studies the properties of repeat
 ed application of rational functions while the work on the model theory of 
 difference fields concerns the structure of the definable sets in fields co
 nsidered in the language of rings augmented by a function symbol for a dist
 inguished automorphism\, but there are deep connections between the two sub
 jects.  I will discuss several of these connections including a dynamical c
 onsequence of Hrushovski's theorem on the nonstandard Frobenius due to Poon
 en\, \nsome results on descent of algebraic dynamical systems due to Chatzi
 dakis and Hrushovski\, and some theorems on the arithmetic\nof polynomial d
 ynamical systems due to Medvedev and myself.\n
SUMMARY:Logic Colloquium\nThomas Scanlon\nAlgebraic Dynamics and the Model 
 Theory of Difference Fields
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