# Mathematics Colloquia and Seminars

### $\mathfrak{sl}_n$-homology theories obstruct ribbon concordance
In a recent result, Zemke showed that a ribbon concordance between two knots induces an injective map between their corresponding knot Floer homology. Shortly after, Levine and Zemke proved the analogous result for ribbon concordances between links and their Khovanov homology. In this talk I will explain joint work with Caprau-Lee-Lowrance-Sazdanovic and Zhang where we generalize this construction further to show that a link ribbon concordance induces injective maps between $\mathfrak{sl}_n$-homology theories for all $n \geq 2$.