中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 叶谨赫 博士（Institut de Mathématiques de Jussieu-Paris Rive Gauche）
题 目：Recent progress on the model theory of large fields
时 间：2022.04.08（星期五），16:00-17:00
地 点：数学院南楼N219室 腾讯会议：560-302-884
摘 要：Large field is a concept in field arithmetic introduced by Pop and has been proven to be the “right class” of fields over which one can do a lot of interesting mathematics, like (inverse) Galois theory, study torsors of finite groups, study rationally connected varieties, study the elementary theory of function fields, etc. Empirically speaking, all model-theoretically tame fields are large. I will present several recent progress in this area. Particularly, I will focus on the recent progress in the restricted version of the long-standing stable fields conjecture in model theory. Time permitting, I will also address the question: Does tameness imply largeness?
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