## Participating seminar: Topological
Dynamics and Model Theory (MATH290D, UCLA, Fall 2016)

**Organizers**

Artem Chernikov and Andrew Marks

**Time and place**

Every Wednesday, 3:30 - 5:50pm

MS 6221

**Description**

We will concentrate on connections between model theory and topological dynamics, in the context of the automorphism groups of omega-categorical continuous structures. The main reference is "Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups" by I. Ben Yaacov and T. Tsankov. Before reading it, we will first discuss continuous logic following "Model theory for metric structures" by I. Ben Yaacov, A. Berenstein, C. W. Henson, and A. Usvyatsov.

**Watch online**

The talks are streamed on-line at [link], you will need Google Hangouts to watch.

**Schedule of the talks**

Sep 28 - Organizational meeting + introduction, by Artem Chernikov [notes]

Oct 5 - Introduction to continuous logic + compactness, by Madeline Barnicle

Oct 12 - Spaces of types in continuous logic, by Tyler Arant

Oct 19 - Spaces of types in continuous logic (continued), by Tyler Arant [notes]

Oct 26 - Omitting types and omega-categoricity in continuous logic, by Thomas Gilton

Nov 2 - Stability in continuous logic, by Alex Mennen

Nov 9 - Examples of continuous theories, by Riley Thornton

Nov 16 - Omega-categoricity and Roelcke precompact Polish groups, by Anton Bobkov

Nov 30 - Stability and WAP compactification, by Artem Chernikov

**References **

**Model theory for metric structures** by Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson, and Alexander Usvyatsov.

**Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups ** by Itaï Ben Yaacov and Todor Tsankov.

**Additional material**

**Introduction to stability theory**, lecture notes by Artem Chernikov

**The dynamical hierarchy for Roelcke precompact Polish
groups**, by Tomás Ibarlucía

**Links**

CCLE course page