Toshitaka Aoki

Interval endomorphism algebras of posets: Reedy structure, combinatorics, and homological theory

Let $P$ be a finite connected poset and let $\Lambda_P$ be the opposite endomorphism algebra of the direct sum of all interval representations of $P$ over a field. Via projectivization, this algebra governs resolutions relative to interval-decomposable representations, which arise naturally in persistence theory. We fi...