Duality for Asymptotic Invariants

Thời gian: 15h15 thứ năm, ngày 20/04

Địa điểm: Pòng 612, Nhà A6.

Link online: https://meet.google.com/yep-kbzk-eao?pli=1&authuser=4

Tóm tắt: In this talk we present a duality for sequences of numbers which interchanges superadditive and subadditive sequences, and inverts their asymptotic growths. We 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. Other examples may be given if time permits. This is joint work with Michael DiPasquale and Alexandra Seceleanu.