Date/Time Date(s) - 28/09/20239:30 am - 10:30 am
Location: HH207
Speaker: Thanh Thai Nguyen (McMaster University)
Title: Asymptotic invariant of Graded Families
Abstract: In this talk we shall present a duality for sequences of numbers which interchanges superadditive and subadditive sequences and inverts their asymptotic growths. We shall discuss at least two algebro-geometric contexts where this duality shows up: how it interchanges the sequence of initial degrees of symbolic powers of an ideal of points with the sequence of regularities of a family of ideals generated by powers of linear forms; and how it underpins the reciprocity between the Seshadri constant and the asymptotic regularity of a finite set of points. This is a joint work with Michael DiPasquale and Alexandra Seceleanu.