We address some conjectures and open problems in 'analysis of symmetries' which include the study of non-commutative harmonic analysis and discontinuous groups for reductive homogeneous spaces beyond the classical framework:(1) discrete series for non-symmetric homogeneous spaces G/H;
(2) discontinuous group Γ for G/H beyond the Riemannian setting;
(3) analysis on pseudo-Riemannian locally homogeneous spaces.
[ DOI | arXiv | preprint version(pdf) ]
© Toshiyuki Kobayashi