Australian Category Seminar

∞-Dold-Kan correspondence via representation theory

Chiara Sava·19 Feburary 2025

In this talk we give a purely derivator-theoretic reformulation and proof of a classic result of Happel and Ladkani, showing that it occurs uniformly across stable derivators and it is then independent of coefficients. The resulting equivalence provides a bridge between homotopy theory and representation theory: indeed, we explain how our result is a derivator-theoretic version of the ∞-Dold-Kan correspondence for bounded chain complexes.

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