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• #### Connected components of affine Deligne–Lusztig varieties in mixed characteristic ﻿

(Oxford University Press (OUP), 2015)
We determine the set of connected components of minuscule affine Deligne–Lusztig varieties for hyperspecial maximal compact subgroups of unramified connected reductive groups. Partial results are also obtained for non-minuscule ...
• #### Localization of $\hat{\mathfrak{g}}$-modules on the Affine Grassmannian ﻿

(Princeton University, 2009)
We consider the category of modules over the affine Kac-Moody algebra $\hat{\mathfrak{g}}$ of critical level with regular central character. In our previous paper we conjectured that this category is equivalent to the ...