On September 1, 2025, the School of Mathematical Sciences at Hebei Normal University hosted a half-day workshop devoted to recent developments in the theory of power semigroups. It was the first international event of its kind to date. Further information, including the abstracts of the talks, can be found in the booklet. The organizers acknowledge support from the Natural Science Foundation of Hebei Province through grant A2023205045.

Introduction

Salvatore Tringali · Hebei Normal University, China
Recent trends in the theory of power semigroups (slides)

Plenary talks

Felix Gotti · Massachusetts Institute of Technology (MIT), USA
Maximal Common Divisors in Power Monoids (slides)

Laura Cossu · University of Cagliari, Italy
Power Monoids in a New Framework for Factorization (slides)

Pedro A. García-Sánchez (online) · University of Granada, Spain
Isomorphism problems for ideals of numerical semigroups (slides)

Balint Rago (online) · University of Graz, Austria
On power monoids and their automorphisms (slides)

Andreas Reinhart (online) · University of Graz, Austria
Power monoids and their system of length sets (slides)