Specialization of difference equations in positive characteristic

By Michael Temkin (Hebrew University)
Abstract: A difference equation over an increasing transformal valued field is known to beanalyzable over the residue field. This leads to a dynamical theory of equivalence of finite dimensional difference varieties, provided one knows that the residue field is stably embedded as a pure difference field. In characteristic zero this follows from work of Azgin’s. I will report on joint work with Yuval Dor, settling the question in positive characteristic.