Higher Segal Spaces and Applications (Banff 2024) Julia E. Bergner, Joachim Kock, and Maru Sarazola (editors) Contemporary Mathematics, volume 838 (2026) American Mathematical Society. https://doi.org/10.1090/conm/838

The following are links to the arXiv preprint versions of the papers (not necessarily final).

• Complete frontmatter, including the Preface by the editors (Julie Bergner, Joachim Kock, and Maru Sarazola)
• Walker Stern: Perspectives on the 2-Segal conditions
• Philip Hackney: The decomposition space perspective
• Viktoriya Ozornova and Martina Rovelli: Waldhausen's S_•-construction
• Martina Rovelli: The S_•-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces
• Benjamin Cooper and Matthew Young: Hall algebras via 2-Segal spaces
• Tobias Dyckerhoff: Cyclic polytopes, orientals, and correspondences: Some aspects of higher Segal spaces
• Maru Sarazola, Brandon Shapiro, and Inna Zakharevich: A combinatorial construction of homology via ACGW categories
• Hiro Lee Tanaka: Wrapped Fukaya categories and the 2-Segal conditions
• Julie Bergner and Walker Stern: Cyclic Segal spaces
• Imma Gálvez-Carrillo, Joachim Kock, and Andrew Tonks: Decomposition spaces in combinatorics