Powers of facet ideals of simplicial trees

Người báo cáo: Arvind Kumar

Time: 9:00 -- 10:00, June 28th, 2023

Venue: Room 612, A6

Abstract: In this talk, we study the linearity of the minimal free resolution of powers of facets ideals of simplicial trees. We give a complete characterization of simplicial trees for which (some) power of its facet ideal has a linear resolution. We calculate the regularity of the $t$-path ideal of a perfect rooted tree. We also obtain an upper bound for the regularity of the $t$-path ideal of a rooted tree. We also study the regularity of powers of $t$-path ideals of rooted trees. This is a joint work with Prof. Ajay Kumar from IIT Jammu.

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Đỗ Duy Hiếu, Block-pair edge community detection in bipartite networks via an adaptive spectral-modularity framework, Computational and Mathematical Organization Theory, Volume 32, article number 31 (2026)
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)