Commutative Algebra Seminar

In the case of a singly graded ring S, the Castelnuovo-Mumford regularity of the powers I^n of an ideal I in S is eventually a linear function in n. When S is multigraded, the regularity of each power is a region rather than an integer. I will present bounds on the regularity of the powers I^n of a multigraded ideal that translate linearly in n.
Speaker(s): Lauren Cranton Heller (Berkely)