Logic Seminar

Jinhe Ye, University of Notre Dame

"A model theoretic adic space"

Working in the theory of algebraically closed valued fields, Hrushovski and Loeser used the space \widehat{V} of generically stable types concentrating on V to study the topology of Berkovich analytification V^{an} of V. In this talk we will present an analogous construction which provides a model-theoretic counterpart \widetilde{V} of the Huber's analytification of V. We show that, the same as for \widehat{V}, the space \widetilde{V} is strict pro-definable.  Furthermore, we will discuss canonical liftings of the deformation retraction developed by Hrushovski and Loeser. This is a joint project with Pablo Cubides Kovacsics.

MC 5479