### MULTIPLICITY SEQUENCE AND INTEGRAL DEPENDENCE II

Time: 14:00 to  15:00 Ngày 15/07/2020

Venue/Location:

Speaker: Ngo Viet Trung

Content:

This talk will present the length formula for the computation of the multiplicity sequence and show how to use it to prove the conjecture that two arbitrary ideals I \subset J in an equidimensional and universally catenary Noetherian local ring have the same integral closure if and only if they have the same multiplicity sequence. However, one can not deduce from this numerical criterion an earlier result of Flenner and Manaresi, which used local j-multiplicities to test integral dependence. It remains an open problem on the relationship between these two results.