Events

DMS Algebra Seminar

Time: Nov 01, 2022 (02:30 PM)

Location: ZOOM

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.