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Proper affine actions of right-angled Coxeter groups

Introductory Workshop: Geometric Group Theory August 22, 2016 - August 26, 2016

August 25, 2016 (02:30 PM PDT - 03:20 PM PDT)
Speaker(s): Fanny Kassel (Institut des Hautes Études Scientifiques (IHES))
Location: MSRI:



The Auslander Conjecture states that all discrete groups acting properly and cocompactly on R^n by affine transformations should be virtually solvable. In 1983, Margulis constructed the first examples of proper (but not cocompact) affine actions of nonabelian free groups. It seems that until now all known examples of irreducible proper affine actions were by virtually solvable or virtually free groups. I will explain that any right-angled Coxeter group on k generators admits a proper affine action on R^{k(k-1)/2}. This is joint work with J. Danciger and F. Guéritaud.

26651?type=thumb Kassel Notes 162 KB application/pdf Download
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