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.