Fri, November 20, 2020
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5:00pm [5:30pm] Parangama Sarkar, IIT Palakkad, India
Description:
Date/Time: 20 November 2020, 5:30pm IST/ 12:00 GMT/ 7:00am EDT (joining time: 5:15 pm IST - 5:30 pm IST) Speaker: Parangama Sarkar, IIT Palakkad, India Google meet link: meet.google.com/gyc-baih-xas Title: Frobenius Betti numbers of finite length modules Abstract: Let $(R, m)$ be a Noetherian local ring of dimension $d > 0$ and $M$ be a finitely generated $R$-module of finite length. Suppose char R = $p > 0$ and $d = 1.$ De Stefani, Huneke and Núńez-Betancourt explored the question: what vanishing conditions on the Frobenius Betti numbers force projective dimension of $M$ to be finite. In this talk we will discuss the question for $d ≥ 1.$ This is joint work with Ian Aberbach.
6:00pm