NTC of Perfectoid Rings

Abstract: In this talk I will discuss my recent computation of the NTC groups of perfectoid rings which have a system of pth power roots of unity and thus the KK-groups of the p-completed affine line R⟨x⟩R⟨x⟩ over these rings relative to the ideal (x)(x). This includes all perfect fields of positive characteristic, for which these groups vanish in non-negative degrees. This class of rings also contains many mixed characteristic rings, and perhaps surprisingly while the even nonnegative groups will still vanish, the odd groups will not.

algebraic topology

Audience: researchers in the topic

MIT topology seminar

Series comments: We meet at varying times on Monday. Click here to join the zoom meeting . The Zoom meeting room number is 132-540-375.

The mailing list for this seminar is the MIT topology google group. Email Mike Hopkins if you want to join the list.