We first give some background on the Poincaré series of the algebra of generic matrices and its associated trace ring, and then focus on some recent work, including a conjecture for the denominator of the one variable series for the trace rings. Time permitting we will also say a bit about traces of direct sums.

This talk relates to this arXiv paper.

This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.