## Combinatorial invariance conjecture for affine A2

Joint with Gastón Burrull and David Plaza, submitted to **IMRN. ** We prove the combinatorial invariance conjecture (by G. Lusztig and M. Dyer in the eighties) for the affine A2. This is the first infinite group with non-trivial Kazhdan-Lusztig polynomials where this fascinating conjecture is proved.