On the Beauty of Knots

Abstract:

Knots are part of our everyday life, while tying our shoes, in artwork or on a boat. During the last two centuries, knot theory has arisen to a research topic of great interest and appears in several branches of mathematics, such as algebraic topology or geometric analysis. In this talk, I give an introduction to knot theory from the analytical point of view. In particular, I discuss how the beauty of knots can be measured and present the history and origins of one recent research result in this area.