Seminariet i Algebraisk geometri och talteori

​Henrik Gustafsson, Chalmers/GU: Multiple Dirichlet series and metaplectic Whittaker functions


Abstract: Dirichlet series and L-functions in one complex variable have a long and fruitful history in number theory, but the theory of Dirichlet series in several complex variables (multiple Dirichlet series) is much less developed.

In this talk I will review the historical development of so called Weyl group multiple Dirichlet series including their many different definitions that were worked out in parallel and how these were eventually all connected via metaplectic Whittaker functions.

I will then discuss my recent research on metaplectic Whittaker functions which is joint with Ben Brubaker, Valentin Buciumas and Daniel Bump. If time permits, I will also briefly mention our related work on solvable lattice models describing these Whittaker functions.

​Organisers: Anders Södergren (andesod@chalmers.se) and Christian Johansson (chrjohv@chalmers.se). Please contact one of us if you wish to be informed of future seminars.

Seminariet hålls i Euler och via Zoom: https://chalmers.zoom.us/j/61095130849

Kategori Seminarium
Plats: Euler, Hörsalsvägen 3 och Zoom
Tid: 2021-09-28 11:00
Sluttid: 2021-09-28 12:00

Sidansvarig Publicerad: må 27 sep 2021.