Georgia Institute of Technology College of Sciences

I will discuss what is a q-holonomic sequence (ie a sequence of rational functions in one variable that satisfies a linear recursion), and three invariants of such sequences (a) the characteristic variety, a plane curve in C^*2, (b) a tropical curve, (c) a quadratic quasi-polynomial.As usual, I will give examples (eg coming from knot theory), and I will connect this talk to the previous one on "Knots and Plane Curves" that I talked about already. No need to know what is a q-holonomic sequence.