Canonical lifts and spectral algebraic geometry

Abstract: Let X be an elliptic curve over a perfect field k of positive characteristic. Serre–Tate studied the deformation theory of such X, and one of their discoveries was that when X is ordinary, it admits a canonical lifting to the ring of Witt vectors W(k) (with some special features). In this talk, I'll discuss a connection between this phenomenon and properties of the moduli of elliptic curves in spectral algebraic geometry introduced by Lurie.

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.