Seminar Calendar
for Model Theory events the next 12 months of Sunday, January 1, 2017.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, January 27, 2017

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 345 Altgeld Hall,  Friday, January 27, 2017
 Del Edit Copy
Submitted by anush.
 Anush Tserunyan (UIUC Math)On "Structurable equivalence relations" by R. Chen and A. Kechris: IntroductionAbstract: For a class $\mathcal{K}$ of countable relational structures, a countable Borel equivalence relation $E$ is said to be $\mathcal{K}$-structurable if there is a Borel way to put a structure from $\mathcal{K}$ on each $E$-equivalence class. The paper of Chen and Kechris [arXiv link] studies the global structure (including Borel homomorphisms and reductions) of the classes of $\mathcal{K}$-structurable equivalence relations for various $\mathcal{K}$. In this introductory talk, we will give some background and survey the main results of the paper.

Friday, February 3, 2017

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 345 Altgeld Hall,  Friday, February 3, 2017
 Del Edit Copy
Submitted by anush.
 Anush Tserunyan (UIUC Math)On "Structurable equivalence relations" by R. Chen and A. Kechris: Universal equivalence relations (2nd talk)Abstract: In our previous talk, we stated the first main result of the paper: a characterization of the elementary classes of countable equivalence relations. In this second talk, we prove that every elementary class admits a $\sqsubseteq_B^i$-universal equivalence relation. This implies one direction of the aforementioned characterization.

Friday, February 10, 2017

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 345 Altgeld Hall,  Friday, February 10, 2017
 Del Edit Copy
Submitted by anush.
 Anush Tserunyan (UIUC Math)On "Structurable equivalence relations" by R. Chen and A. Kechris: Characterization of elementary classes (3rd talk)Abstract: In our previous talk, we proved that any elementary class of equivalence relations admits an invariantly injective universal element. This completes one direction of the characterization of elementary classes. In this third talk, we will prove the other direction of the characterization, as well as discuss other results of the paper if time permits.

Friday, February 17, 2017

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 345 Altgeld Hall,  Friday, February 17, 2017
 Del Edit Copy
Submitted by anush.
 Erik Walsberg (UIUC Math)"Strong theories of ordered abelian groups" by A. Dolich and J. Goodrick: Introduction

Friday, February 24, 2017

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 345 Altgeld Hall,  Friday, February 24, 2017
 Del Edit Copy
Submitted by anush.
 Aristotelis Panagiotopoulos (UIUC Math)On "Structurable equivalence relations" by R. Chen and A. Kechris: Structurability by structures with TDC (4th talk)Abstract: In this talk, we prove a theorem of A. Marks included in the current paper. It says that every aperiodic countable Borel equivalence relation can be $\mathcal{A}$-structured for any countable structure $\mathcal{A}$ with trivial definable closure (TDC). Examples include the rationals, the random graph, and the rational Urysohn sphere.