Pseudo-simplicial groups and moduli spaces of surfaces

Carl-Friedrich Boedigheimer

Universitat Bonn

Brandeis University

Thursday, November 13, 2008

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

Abstract: A simplicial set G = G_0, G_1, .... is called a pseudo-simplicial group, if all G_n are groups. Furthermore, we want to assume that these groups have a norm, not increased by the face maps. The geometric realization of G is then a filtered space and we want to study its strata in certain cases: it turns out that for the symmetric groups resp. their wreath products with Z/2 these strata decompose into modli spaces of orientable resp. non-orientable surfaces.

Home Web page: Alexandru I. Suciu Posted: November 6, 2008
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