Speaker : Arpon Raksit - MIT

Title : 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.