Fri, January 28, 2022
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5:00pm [5:30pm] Shinya Kumashiro, Oyama College, Japan.
Description:
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
6:00pm