Mathematics Lecture Series

Mathematics Lecture Series

Postby staing » Mon Nov 26, 2012 9:08 am

Mathematics Lecture Series, Fall 2012

Dr. Carmen Caprau
California State University, Fresno

“Rational Tangles and Continued Fractions”

Friday, November 30, 2012
from 4:00 p.m. to 5:00 p.m.
Science 145

A tangle is a portion of a knot or link, and a rational tangle is a type of tangle obtained by consecutive twists on neighboring endpoints of two trivial arcs. Rational tangles form a basis for the classification of knots, and are of fundamental importance in the study of DNA recombination. A rational tangle is associated with a unique, reduced rational number, or ∞, called the fraction of the tangle. We will explore the classification of rational tangles using continued fractions, and look into an extraordinary interplay between the elementary number theory of fractions and continued fractions, and the topology of rational tangles and rational knots and links.

For further information, please contact Dr. Tamas Forgacs at (559) 278-4907 or e-mail
Sieumuoi Delcroix
Administrative Support Coordinator
Department of Earth and Environmental Sciences
Main Office 559.278.3086
Fax: 559.278.5980
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