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Academic Year 2004/2005

Topics in Geometry: Geometric Analysis and Discrete Groups
MATH 251 SP

The theory of discrete groups is especially beautiful as it intertwines geometry, analysis, and topology. This class will introduce undergraduates to this exciting and fast-moving field. We will start with the study of a geometry that is very different from the usual geometry. For instance, in this geometry (hyperbolic geometry) the sum of the angles of a triangle is strictly smaller than 180 degrees (and in fact could be zero!) We then consider ways of building more complicated shapes with this geometry (the theory of Kleinian groups). Though Kleinian groups are easy to define objects, their behavior can be quite complicated and beautiful.

MAJOR READINGS

TBA

EXAMINATIONS AND ASSIGNMENTS

Short class presentations and one longer presentation at the end of the semester.

ADDITIONAL REQUIREMENTS and/or COMMENTS

It is recommended that beyond the basic calculus sequence students have taken at least one higher level mathematics course such as Math 225, Math 228, or Math 261. This course will be taught simultaneously at Wesleyan and Boston College. There will be four required joint Saturday seminars, two of them at Wesleyan, and two at Boston College (travel will be arranged).

COURSE FORMAT: Seminar

REGISTRATION INFORMATION

Level: UGRD    Credit: 1    Gen Ed Area Dept: NSM MATH    Grading Mode: Graded   

Prerequisites: NONE Links to Web Resources For This Course.

Last Updated on MAR-21-2005

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