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# David Rose (UNC-CH), GMA & Visions Seminar

## November 14, 2016 @ 4:00 pm - 5:00 pm

**Title: **Low-dimensional topology and (categorified) quantum groups

**Abstract: **We’ll explore the relation between 3-dimensional topology and representation theory. More explicitly, we’ll see how certain algebra (quantum groups) lead to polynomial invariants of knots, and to invariants of 3-manifolds. Motivated by properties of these invariants, we’ll see how the principle of categorification produces more-sophisticated knot invariants, as well as “higher” structures in representation theory. Along the way, we’ll see how diagrammatic/combinatorial models aid in studying this bridge between algebra and topology.