Fri, October 9, 2020
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5:00pm [5:30pm] Sarang Sane, IIT Madras
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.

6:00pm