# Eric Opdam: Harmonic analysis and the local Langlands parameterization

**Time: **
Wed 2019-10-23 15.15 - 17.00

**Location: **
FR4 Oskar Klein, AlbaNova

**Participating: **
Eric Opdam, Universiteit van Amsterdam

## Schedule

14:00-15:00 Precolloquium by Stefan Reppen in FA32 for master students and PhD students

15:15-16:15 Colloquium lecture by Eric Opdam in Room Oskar Klein, AlbaNova

16:15-17:00 SMC social get together with refreshments

## Abstract

We will give a friendly introduction to the local Langlands conjectures, paying attention to its origins and its historical development. Next we will discuss in a non-technical way the main goals in the study of the harmonic analysis and the Plancherel Theorem for a reductive group G. Towards the end of the talk we bring the two themes together and dicuss existence and uniqueness of a local Langlands reciprocity map (joint work with Y. Feng and M. Solleveld) for so-called unipotent representations, compatible with the Plancherel measure of G. This proves in particular a conjecture of Hiraga, Ichino and Ikeda for said representations.