Kick-off event: AI and the future of mathematics and physics - 21.10.2026
In light of recent developments, the incoming kick-off event at the Institut Henri Poincaré will take the form of a debate gathering mathematicians and theoretical physicists around the role of AI in the practice of research. More information will come soon.
Degenerate conformal blocks for the \( W_3 \) algebra at \( c=2\) and Specht polynomials
byJulien Roussillon
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.