Algebra Seminar

Title: Witt Vectors and the Canonical Lift of an Elliptic Curve
Speaker: Justin Groves
Abstract: In this talk, we are concerned with understanding the canonical lifting of an elliptic curve over a perfect field of characteristic p > 0 to an elliptic curve over the ring of Witt vectors.  To that end, we explore the formal definition of elliptic curves, construct the ring of Witt vectors over any commutative ring, and state the canonical lifting property.  This talk is a precursor to a talk to be given on the elliptic Teichmüller lift.