Séminaire Géométrie et groupes discrets
Milnorian and non-Milnorian Representations
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Europe/Paris
Centre de conférences Marilyn et James Simons (IHES)
Centre de conférences Marilyn et James Simons
IHES
Description
In 1977, Milnor formulated the following conjecture: every discrete group of affine transformations acting properly on the affine space is virtually solvable. We now know that this statement is false; the current goal is to gain a better understanding of the counterexamples to this conjecture. Every group that violates this conjecture "lives" in a certain algebraic affine group, which can be specified by giving a linear group and a representation thereof. Representations that give rise to counterexamples are said to be non-Milnorian. We will talk about the progress made so far towards classification of these non-Milnorian representations.
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