====== Ting Su (Hamburg) ====== ====== Classification of Stringent Hypergroups and Doubly Distributive Skew Hyperfields ====== ===== Abstract for the Combinatorics Seminar 2019 September 24 ===== A hypergroup is stringent if a ⊞ b is a singleton whenever a ≠ b. A hyperfield is stringent if the underlying additive hypergroup is. Every doubly distributive skew hyperfield is stringent, but not vice versa. I present a classification of stringent hypergroups, from which a classification of doubly distributive skew hyperfields follows. ----