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|Title:||Rank of the fundamental group and geometry of hyperbolic 3-manifolds.|
|Seminar:||Center for Dynamics and Geometry Seminar|
|Speaker:||Juan Souto (U Michigan)|
|We explain some aspects of the relation between the geometry and topology of hyperbolic 3-manifolds and the rank of their fundamental group, i.e. the minimal number of elements needed to generate it. For instance we show that for every $k$ there are only finitely many conmensurability classes of non-compact arithmetic hyperbolic 3-manifolds whose fundamental group has rank $k$. This is a joint work with Ian Biringer.|
Room Reservation Information
|Date:||10 / 17 / 2007|
|Time:||03:35pm - 04:35pm|