Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Professor IVANOV SERGEI,BIMSA
Inviter:	黄瑞芝
Title:	Rationalization theories for non-nilpotent spaces and groups
Language:	English
Time & Venue:	2023.05.24 14:30-16:30 南楼N702
Abstract:	We give an overview of five rationalization theories for non-nilpotent spaces (Bousfield–Kan’s Q-completion; Sullivan’s rationalization; Bousfield’s homology rationalization; Casacuberta–Peschke’s?-rationalization; G′omez-Tato–Halperin–Tanr′e’s π_1- fiberwise rationalization) that extend the classical rationalization of simply connected spaces. We also give an overview of the corresponding rationalization theories for groups (Q-completion; HQ-localization; Baumslag rationalization) that extend the classical Malcev completion. In addition, we will tell about our results on the rationalization of the wedge of two circles for all these types of rationalisations.