Regularity of symbolic powers of square-free monomial ideals

Thời gian: 14:00 đến 15:30 Ngày 19/04/2022

Địa điểm: C101, VIASM

Báo cáo viên: Truong Thi Hien

Tóm tắt:

We study the regularity of symbolic powers of square-free monomial ideals. We give a sharp upper bound of regularity of symbolic power of I, where I is the Stanley-Reisner ideal of a simplicial complex. In addition, we obtain a general linear  upper bound reg(I^{(n)}) in case I is the edge ideal of a simple graph.