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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

The dual group of a spherical variety




Date(s) : 27/03/2018   iCal
14h00 - 15h00

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.

http://scholar.google.ca/citations?user=7U0zDmQAAAAJ&hl=en

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