Higher Segal spaces and algebraic structures

Abstract: In this talk, I will introduce the 2-Segal conditions of Dyckerhoff and Kapranov, describing both the algebraic and geometric intuitions which lead to the 2-Segal conditions. I will then give an overview of how the algebraic intuition can be extended to classify various algebraic structures in (higher) categories of spans. I will additionally explain how the geometric intuition can be used to provide state-sum-style invariants of surfaces. Time permitting, I will then discuss work in progress on higher cyclic operads, inspired by intuitions which arise from the algebraic characterization of 2-Segal objects.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

If the talk is online/mixed mode, Zoom info is available on researchseminars.org in the talk details. But if you would also like to be added to the mailing list to get notifications for upcoming talks, please email agseminar@ust.hk.