Equivariant D-modules on the Drinfeld upper half-space

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• Amy Zhu
• Wednesday 16 March 2022, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Christopher Brookes.

Ardakov and Wadsley developed a theory of D-modules on rigid analytic spaces and established a Beilinson-Bernstein style localisation theorem for coadmissible modules over the locally analytic distribution algebra. Using this theory, they obtained admissible locally analytic representations of GL_2 by taking global sections of Drinfeld line bundles. In this talk, we will extend their techniques to GL_3 by studying equivariant D-modules on the Drinfeld upper half-space.

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

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