Resolutions of symmetric ideals via stratifications of derived categories
K Ganapathy - arXiv preprint arXiv:2407.16071, 2024 - arxiv.org
We propose a method to unify various stability results about symmetric ideals in polynomial
rings by stratifying related derived categories. We execute this idea for chains of $ GL_n …
rings by stratifying related derived categories. We execute this idea for chains of $ GL_n …
Independence numbers in certain families of highly symmetric graphs
D Guan, E Ramos - arXiv preprint arXiv:2401.16739, 2024 - arxiv.org
FI-graphs were introduced by the second author and White to capture the idea of a family of
nested graphs, each member of which is acted on by a progressively larger symmetric …
nested graphs, each member of which is acted on by a progressively larger symmetric …