Description
Date/Time: 9 October 2020, 5:30pm IST/ 12:00GMT / 08:00am EDT (joining
time: 5:15 pm IST - 5:30 pm IST)
Google meet link: meet.google.com/wif-eiof-jvd
Speaker: Sarang Sane, IIT Madras
Title: $K_0$ and ideals
Abstract: We begin by discussing $K_0$ and defining $K_1$ for a ring $R$
and the exact sequence connecting them on localization with respect to a
multiplicative set $S$. More generally, there is a similar localization
exact sequence for an open set $V(I)^c$ of Spec(R) connecting $K_0$ and
$K_1$, and we relate the properties of the ideal $I$ with the intermediate
term in the sequence.