The amalgamation property for definable types

Basic data for this talk

Type of talk: scientific Talk

Name der Vortragenden: Hils, Martin

Date of talk: 19/09/2023

Talk language: English

Information about the event

Name of the event: Model Theory Conference

Event period: 19/09/2023 - 23/09/2023

Event location: University of Wroclaw

Event website: https://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.

Keywords: model theory; definable type; beautiful pair; amalgamation property

Speakers from the University of Münster

Hils, Martin

Professorship for Mathematical Logic (Prof. Hils)

Projects the talk is about

Geometric and Combinatorial Configurations in Model Theory (GeoMod) Duration: 01/01/2020 - 31/12/2024 Funded by: DFG - Individual Grants Programme Type of project: Individual project
EXC 2044 - A2: Groups, model theory and sets Duration: 01/01/2019 - 31/12/2025 \| 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster

Publications referred to in the talk

Some definable types that cannot be amalgamated

Hils, Martin; Mennuni, Rosario (2023)

In: Mathematical Logic Quarterly, 69(1), 46-49. doi:10.1002/malq.202200046

Research article (journal) | Peer reviewed | Published