Minimal representations and applications - Part 3/3

By Gordan Savin

Appears in collection : 2025 - T1 - Representation theory and noncommutative geometry

I will define minimal representations of $p$-adic groups and explain how one can work with them. As an application, using minimal representations, I will decompose certain Weil representations attached to multiplicity-free symplectic representations as defined and classified by Knop. These results are consistent with predictions in the relative Langlands program of Ben-Zvi, Sakellaridis and Venkatesh.

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