When: Nov. 13th 2019 (Wed), 16:00-17:00
where: Building 108, Room 319

Speaker: Wansu Kim (KAIST)

Title: Unit-root L-functions and p-adic differential equations
Abstract: We start with reviewing Dwork’s seminal work on p-adic hypergeometric differential equation. We’ll particularly focus on its application to the unit-root L-function of the Legendre family of elliptic curves in positive characteristic. (All of the concepts will be reviewed in this talk.) Then I would like to overview what can be said about unit-root L-function of the family of abelian varieties over a curve, and discuss its potential applications.