Number Theory Seminar

Speaker: Sazzad Biswas (KU).

Title: Computation of the Langlands's lambda function for a finite Galois extension.

Abstract: We know (due to Langlands and Deligne) that the local constants (also known as epsilon factors) are extendable functions. Therefore, to give an explicit formula of the local constant of an induced representation of a local Galois group of a non-Archimedean local field $F$ of characteristic zero, we have to compute the lambda function $\lambda_{K/F}$ for a finite extension $K/F$. In my talk, we will discuss about explicit computation of the lambda function $\lambda_{K/F}$, when  $K/F$ is a finite Galois extension.