These notes are an expanded version of my talk at the ICRA 2018 in Prague, Czech Republic; they are based on joint work with Tobias Dyckerhoff and Tashi Walde. In them we relate Iyama's higher Auslander algebras of type A to Eilenberg-Mac Lane spaces in algebraic topology and to higher-dimensional versions of the Waldhausen S-construction from algebraic K-theory.
|Publisher||American Mathematical Society (AMS)|
- Auslander-Reiten theory
- Eilenberg-Mac Lane spaces
- Waldhausen S-construction