Dear all,

The upcoming CART seminar is scheduled on March 14th (Friday), 10:30 - 11:30 (Korea time).

Speaker: Christian Gaets (University of California, Berkeley) Title: Hypercube decompositions and combinatorial invariance for Kazhdan-Lusztig polynomials Abstract: Kazhdan-Lusztig polynomials are of foundational importance in geometric representation theory. Yet the Combinatorial Invariance Conjecture, due to Lusztig and to Dyer, suggests that they only depend on the combinatorics of Bruhat order. I'll describe joint work with Grant Barkley in which we adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veličković-Williamson to prove this conjecture for Kazhdan-Lusztig R-polynomials in the case of elementary intervals in the symmetric group. This significantly generalizes the main previously known case of the conjecture, that of lower intervals.

You can join the seminar via the following

Zoom link: https://us06web.zoom.us/j/83754139506?pwd=zzWTu3fgXbInC8EYagJzQfUaPo3J9n.1 Meeting ID: 837 5413 9506 Passcode: 800099

Please feel free to forward this to anyone who might be interested. You can check out further information on CART seminar on our website (https://sites.google.com/view/cart-kias/).

Looking forward to seeing you at the seminar!

Best regards, Jaeseong Oh