Equivariant vector bundles with connection on the p-adic half-plane

Abstract: Recent joint work with Konstantin Ardakov has been devoted to classifying equivariant line bundles with flat connection on the Drinfeld $p$-adic half-plane defined over $F$, a finite extension of $\mathbb{Q}_p$, and proving that their global sections yield admissible locally analytic representations of $\operatorname{GL}_2(F)$ of finite length. In this talk we will discuss this work and invite reflection on how it might be extended to equivariant vector bundles with connection on the $p$-adic half-plane.

number theory

Audience: researchers in the topic

London number theory seminar

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For a record of talks predating this website see: wwwf.imperial.ac.uk/~buzzard/LNTS/numbtheo_past.html