Nikolaus Conference 2022

Speaker: Jonas Hetz (Stuttgart)

Title: Ree's Formula and the Generalised Springer Correspondence


Given any finite group \(G\), there is a well-known formula due to Ree which expresses certain irreducible characters of \(G\) in terms of characters of a suitably attached Hecke algebra. Ree's formula is particularly powerful if \(G\) is a finite group of Lie type. We indicate how this yields the solution to the last open cases in the generalised Springer correspondence for connected reductive groups, which occur for groups of type \(E_8\).

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