Zhixiang Wu (Universität Münster): Bernstein-Zelevinsky duality for locally analytic principal series representations

Bernstein-Zelevinsky duality is classically a duality on the derived category of smooth representations of a p-adic Lie group. In this talk, we will consider the Bernstein-Zelevinsky duality for locally analytic representations of p-adic Lie groups, and compute explicitly the duality for principal series representations. I will also explain the relationship of this duality with the duality of coherent sheaves on the (patched) eigenvariety. This is joint work with Matthias Strauch.

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