Colloquium

From: Brenda Sue Cook (brenda@math.missouri.edu)
Date: Thu Aug 30 2007 - 15:04:25 CDT

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Colloquium
Department of Mathematics

Saul Stahl
University of Kansas

Mass in Hyperbolic Geometry

Abstract: Hyperbolic geometry is a geometry in which the sum of the
angles of every triangle is less than 180 degrees. This geometry
played crucial roles in the proofs of both the Poincare conjecture
and Fermat’s Last Theorem. Its mysterious connections with the
classification of finite simple groups remain unexplained.
The notions of mass and center of mass of a region are motivated,
defined and discussed in this new context. The centroids of several
weighted regions are located and their masses are computed. An
interesting aspect of this work is that hyperbolic mass is not
additive. The resulting formulas contain many surprises.
This talk should be of general interest and is recommended to
graduate students.

Thursday, September 6
3:30 p.m.
105 General Classroom Building

Refreshments will be served at 3:00 p.m.
in Room 326 Mathematical Sciences (Math Lounge).

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