Noncommutative Geometry Seminar

In the past few years, my work on special functions has led me to realize that there are close connections with noncommutative algebraic geometry. Although this initially began as a construction of special functions using noncommutative geometry, the ideas have led to a number of new results in the latter. In particular, I'll describe a new construction of a large family of noncommutative rational surfaces, with particular attention to the case of noncommutative elliptic surfaces, and derived equivalences thereof. I'll also explain how one can use derived equivalences to compute certain natural moduli spaces, and the consequences for special functions.