Intersection cohomology of Drinfeld‚s compactifications

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On the formal arc space of a reductive monoid (2014, methodology): “This expectation was stated in [19] in order to give a conceptual explanation to the Rankin-Selberg method, but the idea draws from the work of Braverman and Kazhdan who studied the Schwartz space of the basic afﬁne space [7], and from relevant work in the geometric Langlands program [5, 6].”
Perverse sheaves on real loop Grassmannians (2002, background): “It also leads to a construction of canonical bases [MV00, BG01, MV04], and a deeper understanding of the Satake isomorphism [Gai01], among other applications [BFGM02].”
The Harder–Narasimhan stratification of the moduli stack of $$G$$G-bundles via Drinfeld’s compactifications (2012, background): “A more extensive discussion can be found in [5,6] and also in Sect.”