Kari Vilonen: Mixed Hodge modules and representation theory

Abstract: I will explain how mixed Hodge modules can be utilized to understand representation theory of real groups. I will discuss a set of conjectures which postulate the existence of a mixed Hodge structure on certain representations of real groups. This is joint work with Wilfried Schmid. I will also explain joint work with Dougal Davis which constitutes some progress towards a proof of these conjectures.

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Representation theory’s hidden motives
27 September – 1 October 2021