Abstract:
In this first talk, I will provide a gentle introduction to Conformal Field Theory and conformal blocks in general, and I will discuss the case where they satisfy a system of PDEs known as BPZ equations. Then, I will focus on a special case where the PDEs are third order, and I will present new solutions in terms of the celebrated Specht polynomials. If time permits, I will describe a conjecture relating such solutions to scaling limits of probabilities in the triple dimer model recently constructed by Kenyon and Shi. This talk is based on joint work with Augustin Lafay.
