This is the website for the reading group on Self-Similar Groups that we are holding in the Spring semester 2025/26 in Ljubljana.
The main reference is the book Self-similar groups by Volodymyr Nekrashevych.
Each participant chooses a topic and prepares a one hour lecture for the group. You do not need to cover the entire material in great detail and it is perfectly fine to focus on explaining the main ideas.
If you decide to participate, please send an email to urban.jezernik@fmf.uni-lj.si so I can mark the topic as chosen.
A list of topics, along with references, is available here (prepared by Miloš Puđa).
Basic definitions and examples (Miloš Puđa)
Algebraic theory I - permutational bimodules (Vasilije Božarić)
Algebraic theory II - virtual endomorphisms (Marco Barbieri)
Algebraic theory III - contracting actions (Jakob Jurij Snoj)
Limit spaces I - the space X_G (Daniel Vitas)
Limit spaces II - the space of right orbits J_G = X_G/G
Groups of bounded automata B_0
Iterated monodromy groups I (Maruša Lekše)
Iterated monodromy groups II (Luka Boc Thaler)
Applications and Examples I
Applications and Examples II
We meet on Mondays at 10-11 in classroom P.01.
16/02/2026 Miloš Puđa: Introductory meeting
02/03/2026 Miloš Puđa: Basic definitions and examples
09/03/2026 Vasilije Božarić: Algebraic theory I - permutational bimodules [notes]
16/03/2026 Marco Barbieri: Algebraic theory II - virtual endomorphisms