Prof. Dmitri Akhiezer (Institute for Information Transmission Problems, Mosca)

    "Weakly symmetric spaces and spherical varieties"



Programma:

 1) Commutative homogeneous spaces and Gelfand pairs.

 2) Spherical varieties over C, multiplicity free actions and
    spherical affine homogenous spaces.

 3) The Weyl involution of a complex reductive group.

 4) Selberg's question. Therorem: any commutative homogeneous space of
    a (real) reductive group is weakly symmetric.

 5) Spherical Stein manifolds and the Weyl involution.