Abacus bicomodule configurations and the Bergner–Osorno–Ozornova–Rovelli–Scheimbauer equivalence

Abstract: A theorem of Bergner, Osorno, Ozornova, Rovelli, and Scheimbauer states an equivalence between 2-Segal spaces and certain augmented stable double Segal spaces. In this talk, after a preliminary section on 2-Segal spaces, I will establish more general equivalences, involving simplicial maps of 2-Segal spaces and abacus bicomodule configurations, extending results of Carlier. This talk is based on joint work with Joachim Kock, and a preprint of this work is available on the arXiv (see arXiv:2501.16491).

algebraic topologycategory theory

Audience: researchers in the topic

Bilkent Topology Seminar

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Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos