For loop groups, the authors construct a Borel-Serre type bordification whose boundary is homotopic to an affine rational Tits building, and introduce canonical pairs and a semi-stability partition.
Behrend, Semi-stability of reductive group schemes over curves , Math
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Borel--Serre type bordifications and Canonical Pairs for Loop groups
For loop groups, the authors construct a Borel-Serre type bordification whose boundary is homotopic to an affine rational Tits building, and introduce canonical pairs and a semi-stability partition.