Some results about saturation

Name: Some results about saturation
Start: 2026-01-30T12:00:00-05:00
End: 2026-01-30T13:00:00-05:00
Location: CMSA, 20 Garden St, Common Room

CMSA MEMBER SEMINAR

When: January 30, 2026

12:00 pm - 1:00 pm

Where: CMSA, 20 Garden St, Common Room

Address: 20 Garden Street, Cambridge 02138, United States

Speaker: Stephen Landsittel (Harvard CMSA)

Given a local ring R we can ask when saturation of ideals in R commutes with other operations on ideals (such as extension to a ring containing R). We show that the condition that extension of ideals along a ring map R \to S commutes with saturation controls inherent properties of the rings R & S, such as Cohen-Macaulayness and unramifiedness.