Sarah Dijols

Distinguished representations are representations of a reductive group $G$ on a vector space $V$ such that there exists a $H$-invariant linear form for a subgroup $H$ of $G$. They intervene in the Plancherel formula in a relative setting, as well as...

After a brief introduction on the theory of p-adic groups complex representations, I will explain why tempered and generic Langlands parameters are open. I will further derive a number of consequences, in particular for the enhanced genericity...

I will explain how the Geometric Lemma allows us to classify parabolically induced representations of the p-adic group $G_2$ distinguished by $SO_4$. In particular, I will describe a new approach, in progress, where we use the structure of the p-adic...

This summer school provides the mathematical background to recognize Koszul duality in representation theory. The school is especially oriented toward applications in the local Langlands program, with an emphasis on real groups. As Koszul duality...

The generic representations of p-adic groups are used in different contexts but still carry a touch of mystery. I will explain their use, and some central results about them. Further, I will give an account on a recent work with Cunningham, Fiori and...