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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Difference fields and descent of difference varieties

## Difference fields and descent of difference varietiesAdd to your list(s) Download to your calendar using vCal - Chatzidakis, Z (Paris 7 - Denis-Diderot)
- Tuesday 12 May 2009, 16:30-17:30
- Satellite.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems In this talk I will state and explain a few results of descent of difference varieties which can be obtained using model theoretic tools. The 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. Then V_2 in turns dominates some difference variety defined over K=K_1p K_2. This result is of course not true as stated, and we explain which hypotheses make it valid. In particular it gives an alternate proof of a result of M. Baker on algebraic dynamics and generalises it to higher dimensions. This is joint work with Ehud Hrushovski. Extended abstract, at http://www.logique.jussieu.fr/~zoe/papiers/Leeds09.pdf This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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