"Polytopes, groups, and classification" - Egon Schulte (Northeastern University)

When	Dec 04, 2007 from 12:00 PM to 01:00 PM
Where	Salón "Graciela Salicrup"
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Resumen:

The past three decades have seen a revival of interest in the study of polytopes and their symmetry. The most exciting new developments all center around the language and theory of abstract polytopes.

The lecture surveys the present state of a number of challenging problems about regular and chiral abstract polytopes, including their classification by local or global topological type.

Classical convex polytope theory is concerned with the case where the topology is spherical. Abstract polytopes which are globally or locally toroidal, have also attracted a lot of attention, and many enumeration problems have been solved.