Compactifications of Symmetric and Locally Symmetric Spaces

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Finsler bordifications of symmetric and certain locally symmetric spaces (2015, background): “(iv) The maximal Satake compactification is known to carry a G-invariant real-analytic structure, see [BJ].”
The Deligne–Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3 (2012, background): “We define HgF = H ∪ P(1)(F ) with a certain topology whose precise definition is not needed for this discussion; see [BJ06].”
Manin's and Peyre's conjectures on rational points and adelic mixing (2006, unknown): “6 and 4.11 (3),noting r = W (e)in thenotation therein): (1.4) r := X 2 lim s! a + (s a ) b Z G (A) H (g) s (g)d (g): For saturated,theprobability m easure on X istheuniquem easuresatisfying thatforany 2 C(X )invariantundera co- nitesubgroup ofW , (1.5) ( )= r 1 X 2 lim s! a + (s a ) b Z G (A) H (g)…”