What kind of thing is... Rep(G)? (André Henriques, Oxford University)

08.09.2026 10:30

What kind of mathematical object is the category of representations of a group? The answer depends on what kind of group we're considering: finite / algebraic / topological / etc.
In all cases, after having axiomatised the kind of categories that look like Rep(G), a surprisingly fruitful question is to ask whether there are other categories that satisfy all the same axioms, but are not of the form Rep(G).

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Room 1-05, Séminaire "Groupes et géométrie"

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