|Date: Thursday, April 12, 2018
Location: B735 East Hall (3:00 PM to 4:00 PM)
Title: Graded Shifts and the Shapes of Free Resolutions
Abstract: Let I be a homogeneous ideal in a polynomial ring S = K[x_1,...,x_n] over a field K. Many of the properties of the homogeneous ideal associated to I can be determined from the minimal graded free resolution of I. In my talk I will discuss some progress on understanding the maximal graded shifts (i.e. degrees of syzygy modules) of ideals and modules over S. I will present some new restrictions on the maximal graded shifts of ideals, which can be thought of as restrictions on the shapes of the nonzero entries in the graded Betti table of an ideal.
arXiv reference: arXiv:1801.08194
Speaker: Jason McCullough
Institution: Iowa State University