Regularity of squarefree monomial ideals with partial linear resolution

Thời gian: 14:00 đến 15:00 Ngày 07/06/2016

Địa điểm: C2-714

Báo cáo viên: Vu Quang Thanh

Tóm tắt:

In this talk, I will discuss an ongoing project with Long Dao where we study the regularity of squarefree monomial ideals whose minimal free resolutions are $k$-step linear. In particular, I will talk about the sharp linear bound for regularity of ideal which is 2-step linear, and a log bound for regularity in the case of cubic squarefree monomial ideals which are 3-step linear. I will also discuss some generalization to the case of ideal generated in higher degrees, and non-squarefree case.