Coadmissibility of global sections of Drinfeld line bundles

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• Amy Zhu, University of Cambridge
• Wednesday 22 May 2024, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Adam Jones.

In recent work, Ardakov and Wadsley constructed admissible locally analytic representations of GL_2 over a p-adic field by studying equivariant line bundles with connection on the Drinfeld upper half-plane. In this talk, after discussing the GL_2 case, we will attempt to extend their work to higher dimensions. We will define an analogue of Ardakov and Wadsley’s rings of differential operators and study whether this is the correct object, followed by outlining a proof of coadmissibility of Drinfeld line bundles.

This talk is part of the Algebra and Representation Theory Seminar series.

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