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Algebra & Combinatorics Seminar

Title: Unit-root $L$-functions and $p$-adic differential equations
Speaker: Wansu Kim (KAIST, Daejeon, South Korea)
Date: 24 February 2020
Time: 3 pm
Venue: LH-1, Mathematics Department

We start with reviewing Dwork’s seminal work on a certain $p$-adic hypergeometric function, which has an application to the unit-root $L$-function of the Legendre family of elliptic curves in characteristic $p>2$. 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.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 11 Dec 2023