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Viktoriya Ozornova: Equivalences in higher categories

Date: 2026-06-09

Time: 09:00 - 09:40

Zoom link: https://kva-se.zoom.us/j/9217561890

Speaker
Viktoriya Ozornova, Max Planck Institute for Mathematics

Abstract
The equivalences inside an ordinary category are just isomorphisms. The equivalences inside a 2-category are well-understood, also for homotopical contexts. But what are equivalences inside a 3-category? Some answers arise from work of Gurski and from previous joint work with Hadzihasanovic, Loubaton and Rovelli. My question is about the comparison of these answers. I will also try to sketch some possible applications.