Speaker: George Seelinger
Abstract: We will give a proof of the shuffle theorem by realizing \nabla e_n as a raising operator series via connections to the elliptic Hall algebra of Burban and Schiffmann and the shuffle algebra. Then, we will expand this raising operator series into a sum of the series LLT polynomials of Grojnowski and Haiman. The shuffle theorem will then be a corollary by taking the polynomial truncation of this identity of series.
References: https://arxiv.org/abs/2102.07931