Dear CART seminar subscribers,

This is a gentle reminder of the CART seminar by Oleksandr Tsymbaliuk (Purdue University), on 19;30 - 20:30 tomorrow (in Korea, UTC+9).

Hope to see you at the seminar!

Best regards,

Sin-Myung Lee

-----------------------원본 메세지----------------------- 보낸사람: "이신명"sinmyunglee@kias.re.kr 받는사람: "Mathematics Members(mathall)" mathall@kias.re.kr, cart-seminar@snurep.crystalline.site 참조: "Tsymbaliuk,Oleksandr" otsymbal@purdue.edu 보낸날짜: 2024-05-08 16:11:46 GMT +0900 (Asia/Seoul)제목: Seminar announcement (Oleksandr Tsymbaliuk, May 16 (Thu), 7:30PM)

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