The dual group of a spherical variety

Date(s) : 27/03/2018   iCal
14 h 00 min - 15 h 00 min

Let $X$ be a spherical variety for a reductive group $G$. Work of Gaitsgory-Nadler indicates that the Langlands dual group $G^\vee$ should contain a reductive subgroup $G_X^\vee$ whose Weyl group coincides with the little Weyl group of $X$. We show that such a subgroup indeed exists (even for any $G$-variety). Moreover we exhibit some functoriality properties of $G_X^\vee$. This is joint work with Barbara Schalke.

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