Birational Rowmotion on a Rectangle over a Noncommutative Ring

View/ Open
Date
2022-09-20MFO Scientific Program
OWRF 2021Series
Oberwolfach Preprints;2022-17Author
Grinberg, Darij
Roby, Tom
Metadata
Show full item recordOWP-2022-17
Abstract
We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014. The proof uses a novel approach and is fully self-contained.