Events
DMS Algebra Seminar |
| Time: Nov 01, 2022 (02:30 PM) |
| Location: ZOOM |
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Details:
Speaker: Tài Huy Hà (Tulane University) Title: Regularity of graded families of homogeneous ideals.
Abstract: We shall discuss linear bounds and asymptotic values of the regularity of graded families of homogeneous ideals. Let \(S\) be a standard graded algebra over a field \(k\). Let \(I\) be a homogeneous ideal in \(S\). We shall discuss linear bounds for the regularity of \(I^n\), as a function in \(n\), in terms of the generating degrees of \(I\). For a graded family \({I_n}_{n \ge 1}\), we will look at the question of when its asymptotic regularity, defined as the limit of \((reg I_n)/n\) as \(n\) tends to infinity, exists and what it is equal to.
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