THE TWENTIETH COLLOQUIUMFEST

Speaker: Martin Hils

Title: Geometric model theory of separably closed valued fields

Abstract: 
We will present some recent model-theoretic results for separably closed valued fields of finite degree of imperfection. In particular we will treat the classification of imaginaris (i.e., the quotient objects in the definable category) by the 'geometric sorts' and the 'metastability' of the theory, in the sense of Haskell, Hrushovski and Macpherson who had initiated the geometric model theory of valued fields in their work on algebraically closed valued fields. This is joint work with Moshe Kamensky and Silvain Rideau.