On $\tau$-tilting theory
Representation Theory
2024-10-22 v1 Category Theory
Rings and Algebras
Abstract
We give a brief introduction to -tilting theory [AIR]. In particular, we will see how our theory unifies two different branches of tilting theory, namely, silting theory and cluster tilting theory. We also introduce the history and recent developments.
Cite
@article{arxiv.2410.15842,
title = {On $\tau$-tilting theory},
author = {Takahide Adachi and Osamu Iyama and Idun Reiten},
journal= {arXiv preprint arXiv:2410.15842},
year = {2024}
}
Comments
This is a short summary of our Frontiers of Science Award paper "$\tau$-tilting theory'' (Compos. Math. 2014)