$\mathfrak{m}$-adic Perturbations in Noetherian Local Rings

Date: 
Monday, June 28, 2021 - 11:00am
Location: 
110 Math Science Bldg: also on Zoom
Speaker: 
Nick Cox-Steib
(MU Math)

Abstract:
The purpose of this thesis is to develop methods for the study $\mathfrak{m}$-adic stability in an arbitrary Noetherian local ring. A key role is played by the Artin-Rees lemma. Using these techniques we establish new results about the continuity of Hilbert-Samuel and Hilbert-Kunz multiplicities under $\mathfrak{m}$-adic perturbations

Zoom Link: https://umsystem.zoom.us/j/99814549465?pwd=VEZBSVF0dHRNRUF1UkxJQlBpK3p4Zz09
Meeting ID: 998 1454 9465
Passcode: 524586