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In the late 1980’s Hitchin [51] and Simpson [71] discovered deep connections between representations of fundamental groups of surfaces and algebraic geometry.
We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tools are homogeneous Ca...
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups...
Chevaley-Tarski theorem insures that the projection of a constructible set of $\C ^n$ is also a constructible set. In this note we prove that the projection of a finite boolean combination of algebra...
This is a survey of our research on geometric structures of projective embeddings and includes some topics of our talks in several symposia during 1990-99. We clarify our main problem, which is to co...

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