Low dimensional Lie groups and motions of two dimensional hyperbolic space -- Sean T. Paul, April 13, 2004

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There are three kinds of geometries of constant curvature<BR><BR>
1) Euclidean Geometry (curvature equal to 0)<BR>
2) Spherical Geometry (curvature equal to 1)<BR>
3) Hyperbolic Geometry (curvature equal to -1)<BR><BR>
This talk focuses on the last of these geometries (which 
also is the "most generic" or the "most frequently occurring" kind). This is<BR>
connected to many areas in mathematics, I will concentrate on its connection 
to low dimensional lie groups and complex analysis<BR>in one variable.