Legendrian knots live in contact 3 manifolds which inherit a special geometric structure from the underlying contact structure. In this talk, I will briefly explain what are these knots and discuss some of their applications. I'll also discuss some of the questions
related to Legendrian knots which I find very interesting.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/TopologySeminar