The theta correspondence

In the course we will discuss some introductory aspects of the local/global theta correspondence for automorphic forms/representation for various dual pairs. After several weeks of introductory lectures by the PI the participants are expected to give presentations of some specific aspects of the course.
- Generalities on automorphic forms and representations (in the adelic language)
- Generalities on the Weil representation.
- The theta correspondance for Orthogonal/Symplectic pairs. Local aspects. Multiplicity one and seesaw duality.
- The theta correspondance for Symplectic/Orthogonal pairs. Global aspects. The Siegel-Weil formula.
- The theta correspondence for  special Symplectic/Orthogonal pairs: the Shimizu correspondence and Waldspurger's formula.
- The theta correspondance for some exceptional dual pair.

Schedule

Thursdays 10.15-12.00 Room GRA 332

Zoom link for the course (whenever necessary)

https://epfl.zoom.us/j/67314106601?pwd=XFY9WurVUkD1qSZ2and31moVc2c9dy.1

The first lecture will be Zoomed (live from Oxford)

https://epfl.zoom.us/j/67314106601?pwd=XFY9WurVUkD1qSZ2and31moVc2c9dy.1

Link to the recording of the course of Nov 29  below