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    Oberseminar Logik

    On the model theory of the free factor complex and its connection to free groupsOberseminar Logik

    by Zahra Mohammadi Khangheshlaghi (Münster)

    → Europe/Berlin
    Endenicher Allee 60, Nebengebäude/N0-003 - Seminarraum (Mathezentrum)

    Endenicher Allee 60, Nebengebäude/N0-003 - Seminarraum

    Mathezentrum

    20
    Description

    The free factor complexes (\mathrm{AF}_n) and (\mathrm{OF}_n) are built from the nontrivial proper free factors of (F_n) and their conjugacy classes, respectively, ordered by inclusion. I will discuss their model theory, with a focus on stability. In joint work with Katrin Tent, we proved that (\mathrm{AF}_2), equipped with the complement relation, is (\omega)-stable. I will then turn to higher ranks, where (\omega)-stability fails, and discuss connections with the model theory of free groups. 

     The participants of the seminar are welcome for coffee and tea in room 4.005 (office Hieronymi) at 16.30 before the talks.

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