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The geometry of continued fractions

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If you have a question about this talk, please contact Neal Bez.

We survey the use of hyperbolic geometry and techniques borrowed from discrete group theory in the analytic theory of continued fractions. To begin, we describe a simple geometric representation of integer continued fractions. We then develop this representation to cope with complex continued fractions, and use it, along with other well-known concepts from hyperbolic geometry, to interpret some classic results in the theory of complex continued fractions. This talk will be accessible, with lots of ideas, and few details.

This talk is part of the Analysis seminar series.

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