Colloquium: Tuesday Nov. 11, 2025 (14:00, room 614). Speaker: Salvatore Stella (l’Aquila). Title: “Combinatorial Invariance Conjecture via flipclasses”.
Abstract: The Combinatorial Invariance Conjecture for Kazhdan–Lusztig polynomials posits that the Bruhat graph associated with two elements in a Coxeter group uniquely determines the corresponding Kazhdan–Lusztig polynomial. This conjecture has been a topic of research for over forty years, with significant computational evidence supporting its validity.In this talk, we present an approach via flipclasses to the Combinatorial Invariance Conjecture which allows us to prove it for Kazhdan–Lusztig Re-polynomials of Weyl groups modulo q^7 and for Kazhdan–Lusztig Re-polynomials of type A Weyl groups modulo q^8.
