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The Metaplectic Representation is Faithful

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  • User Mario Marcos Losada
  • ClockWednesday 24 January 2024, 16:30-17:30
  • HouseMR12.

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

Iwasawa algebras are completed group rings that arise in number theory, so there is interest in understanding their prime ideals. For some special Iwasawa algebras, it is conjectured that every non-zero such ideal has finite codimension and in order to show this it is enough to establish the faithfulness of the modules arising from the completion of highest weight modules. In this talk we will look at methods for doing this and apply them to the specific case of the metaplectic representation for the symplectic group.

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

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