IPDF Talk
Date and time: May 11, Thursday, 4-5pm
Venue: Link : https://meet.google.com/gyb-jfbn-oiu?authuser=0
Host: Manoj K Keshari
Speaker: Rajib Sarkar
Affiliation: TIFR Mumbai
Title:Algebraic and homological invariants of binomial edge ideals of graphs.
Abstract:
Let $G$ be a finite simple graph and $J_G$ be its binomial edge ideal in the corresponding polynomial ring. Complete intersection binomial edge ideals are characterized, and they are the paths only. In the first half, we will discuss almost complete intersection binomial edge ideals and their Rees algebra. Also, we will discuss the Castelnuovo-Mumford regularity of powers of almost complete intersection binomial edge ideals. It is also known that $J_G$ is Gorenstein if and only if $G$ is a path. There are two natural generalizations of Gorenstein rings: level rings and pseudo-Gorenstein rings. In the next half, we will study the levelness and pseudo-Gorensteinness of binomial edge ideals.