The amalgamation property for definable types

Basic data for this talk

Type of talkscientific talk
Name der VortragendenHils, Martin
Date of talk19/09/2023
Talk languageEnglish

Information about the event

Name of the eventModel Theory Conference
Event period19/09/2023 - 23/09/2023
Event locationUniversity of Wroclaw
Event websitehttps://www.math.uni.wroc.pl/~pkowa/conf23.html

Abstract

In order to generalize Poizat's theory of belle paires to unstable theories, one needs to assume the amalgamation property for the class of global definable types. In the talk, we will highlight this connection, exhibit some important classes of theories in which definable types may be amalgamated, and exhibit an example of a theory in which they don't. This talk is based on joint work with Pablo Cubides and Jinhe Ye, and with Rosario Mennuni.
Keywordsmodel theory; definable type; beautiful pair; amalgamation property

Speakers from the University of Münster

Hils, Martin
Professorship for Mathematical Logic (Prof. Hils)