Time: 9:30 -- 11:00, March 27, 2024.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: Let $I$ be a homogeneous polynomial ideal. A result by Cutkosky-Herzog-Trung and Kodiyalam says that the maximal generating degree $d(I^n)$ is a linear function of $n$ when $n$ is large enough. The degree stability index of $I$ is the smallest number $n_0$ such that the maximal generating degree $d(I^n)$ of a monomial ideal $I$ of a polynomial ring becomes linear for $nge n_0$. In this talk we are dealing with bounding the degree stability index of $I$. A main result deals with the case of monomial ideals.