"Supercuspidal types and the Jacquet-Langlands correspondence for GL_2"

Lassina Dembele, University of Warwick

In this talk, we revisit the Jacquet-Langlands correspondence for GL2. We restate this corre- spondence using the notion of supercuspidal types. Our reformulation was motivated by algorithmic questions related to the generalized Fermat equation. We will give several examples which illustrate its usefulness.