EVENT DETAILS AND ABSTRACT

Title: The F-signature function of a globally F-regular variety
Speaker: Swaraj Pande
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

The F-signature of a strongly F-regular local ring R is an interesting invariant of its singularities. In this talk, we will discuss this invariant when R is the section ring of a projective variety with respect to an ample divisor. In particular, we study how the F-signature varies as we vary the ample divisor. For this purpose, we will introduce the F-signature function, a real valued function on the ample cone of X, and discuss its continuity properties. This function is analogous to the well-known volume function of big divisors. This is joint work with Seungsu Lee.