中科院数学与系统科学研究院
数学研究所
学术报告
数理逻辑研讨班
报告人：Christian d'Elbée ( University of Bonn )
题 目：Fields with a generic multiplicative endomorphism
时 间：2023.04.28（星期五）16:00-18:00
地 点：腾讯会议: 311-0934-3182
摘 要：The theory of fields expanded by a unary function symbol for a multiplicative endomorphism admits a model-companion, we denote it ACFH. It is a new example of an NSOP1 theory which is not simple. I will mention some features that appear in ACFH, notably a conjecturally suboptimal description of Shelah's forking and the ubiquity of definable groups whiches theories are pseudofinite-cyclic, that is, elementary equivalent to an ultraproduct of finite cyclic groups.
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