- Date
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Monday 16 December 2024, 16.00 - 17.00
- Abstract
- Orderability is an important and extensively studied property of groups. Weak orderability is probably less fashionable, but still interesting due to its interpretation in terms of topologies on groups. For finite groups, these properties are (almost) trivial. We will show that this is no longer the case for the analogous properties of quandles. The latter are algebraic structures generalising groups with their conjugation operation, and yielding a central example of set-theoretic solutions to the Yang-Baxter equation. The talk will include a reminder both on group orderability and on quandles. The talk is based on joint work with M. Ayadi and L. Foissy.
