Automorphisms of wonderful varieties.

Wonderful varieties are algebraic varieties, equipped with an action
of a linear semisimple group G and satisfying axioms inspired by the
well known compactifications of symmetric spaces of De Concini and Procesi.

They are a sort of generalization of complete G-homogenous spaces (i.e.
partial flag varieties); they play a significative role in the theory of
spherical varieties and in multiplicity-free representation theory.

In the talk we will discuss some of their basic properties, and many
examples. In particular, we will focus on recent results about their
full automorphism groups, generalizing the results of Demazure (1977)
about automorphism groups of complete G-homogeneous spaces.