Speaker: Shinya Kumashiro, Oyama College, Japan.
Date/Time: 28 January 2022, 5:30pm IST/ 12:00pm GMT / 7:00am ET (joining
time 5:15pm IST).
Gmeet link: meet.google.com/txo-mdau-ajk
Title: Graded Bourbaki ideals of graded modules and Ideals of reduction
number two
Abstract: In the first part of this talk, we explore graded Bourbaki
ideals. It is a well-known fact that for torsionfree modules over
Noetherian normal domains, Bourbaki sequences exist. We give criteria in
terms of certain attached matrices for a homomorphism of modules to induce
a Bourbaki sequences. In the second part of this talk, we give an
application of graded Bourbaki sequences to Hilbert functions of m-primary
ideals. We give the inequality of the first three Hilbert coefficients for
ideals of reduction number two. This talk is based on the joint work with
J. Herzog and D. I. Stamate.
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar