Existence of the Faddeev Knots, (joint work with Fanghua Lin)

Yisong Yang Polytechnic University Brooklyn, New York

The concept of knots has important applications in a broad range of areas in science including particle and condensed-matter physics, synthetic chemistry, and molecular biology. To mathematicians, knot theory has mainly been a theory of classification of knots by combinatorics and topology. Recently, physicists performed some computer simulations indicating the existence of knots as soliton solutions in the Faddeev quantum field theory model. In this talk, we present an existence theory for such knotted solitons.