University of Sydney Algebra Seminar

Chiara Sava

Friday 28 March, 12-1pm, in Carslaw 175

$\mathrm{\infty }$-Dold-Kan correspondence via representation theory

In this talk we give a purely derivator theoretical 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 $\mathrm{\infty }$-Dold-Kan correspondence for bounded chain complexes.