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Description

The notion of the localized Lascar-Galois group $Gal_L(p)$ of a type $p$ appeared recently in the context of model-theoretic homology groups, and was also used by Krupinski, Newelski, and Simon in the context of topological dynamics. After a brief introduction of the context, we will discuss some basic properties of localized Lascar-Galois groups. Then, we will focus on the question about how far $Gal_L(tp(acl(a)))$ can be from $Gal_L(tp(a))$. This is a joint work with B. Kim, A. Kolesnikov and J. Lee.