Measuring the complexity of groups.

Abstract:  It is hopeless to classify infinite groups up to isomorphism. There are several invariants one can use to chart the vast area inhabited by such groups. I shall discuss several numerical group invariants coming from topology, homology, and geometry:
        * finiteness properties
        * (co)homologicial and geometric dimensions
        * isoperimetric inequalities

I shall illustrate these concepts by means of examples; and the main source of examples for groups in this talk will be arithmetic groups, e.g., the group of invertible integer n-by-n matrices.

Tee/Kaffee/Gebäck
ab  16:45 Uhr,
Arnimallee 3,  Raum 006

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Koordinator:  Prof. Dr. Alexander Schmitt

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