Dear all,

The upcoming CART seminar is scheduled on May 16th (Thursday), 19:30 - 20:30 (Korea time).

Speaker: Oleksandr Tsymbaliuk (Purdue University)

Title: Lyndon words and fused currents in shuffle algebra

Abstract: Classical q-shuffle algebras provide combinatorial models for the positive half U_q(n) of a finite quantum group. We define a loop version of this construction, yielding a combinatorial model for the positive half U_q(Ln) of a quantum loop group. In particular, we construct a PBW basis of U_q(Ln) indexed by standard Lyndon words, generalizing the work of Lalonde-Ram, Leclerc and Rosso in the U_q(n) case. We also connect this to Enriquez' degeneration A of the elliptic algebras of Feigin-Odesskii, proving a conjecture that describes the image of the embedding U_q(Ln) -> A in terms of pole and wheel conditions. The talk shall conclude with the shuffle interpretations of fused currents proposed by Ding-Khoroshkin. This is based on joint works with Andrei Negut.

You can join the seminar via the following

Zoom link: https://us06web.zoom.us/j/84802800194?pwd=thVnBYwaIEcuiH2kd7YdebbqPcDVPI.1

Meeting ID: 848 0280 0194

Passcode: 199289

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

Looking forward to seeing you in the seminar!

Best regards,

Sin-Myung Lee