Tamaru's TALK (Hakata 2018)
Flat quandles and finite subsets in symmetric spaces,
Hakata Workshop Winter Meeting 2018: Discrete Mathematics and its Applications
In this talk,
we overview our recent studies on some interplays between quandles and symmetric spaces.
By applying an idea of symmetric spaces,
we have defined the notion of flat quandles.
some finite subsets (subquandles) in symmetric spaces provide interesting examples of flat quandles.
These examples enable us to introduce the notion of s-commutative subsets in symmetric spaces,
which is a generalization of antipodal sets.