Dear all,
This is a gentle reminder of the CART seminar tomorrow by Amanda Burcroff (Harvard University), on 10:00 - 11:00.
Speaker: Amanda Burcroff (Harvard University)
Title: Scattering Diagram and Generalized Positivity
Abstract: Cluster algebras are celebrated for their intriguing positivity properties. Two distinct proofs of this positivity have emerged: one through the combinatorics of Dyck paths, and another via scattering diagrams, which originate from mirror symmetry and were previously not combinatorially understood. Combining these approaches, we find a directly computable, manifestly positive, and elementary but highly nontrivial formula describing rank 2 scattering diagrams. Using this, we prove the Laurent positivity of generalized cluster algebras of all ranks, resolving a conjecture of Chekhov and Shapiro from 2014. This is joint work with Kyungyong Lee and Lang Mou.
Zoom link: https://us06web.zoom.us/j/88924764772?pwd=9LluJetWgNnnNq946JFybbWouDSzyB.1
Meeting ID: 889 2476 4772
Passcode: 549977
Hope to see you at the seminar!
Best regards,
Jaeseong Oh
보낸사람: "오재성"<jsoh@kias.re.kr>
받는사람: "이신명" <sinmyunglee@kias.re.kr>, "오재성" <jsoh@kias.re.kr>
참조: "Burcroff, Amanda" <aburcroff@math.harvard.edu>
보낸날짜: 2024-11-02 10:18:13 GMT +0900 (Asia/Seoul)
제목: [Cart-seminar] CART Seminar announcement (Amanda Burcroff, Nov 8 (Fri), 10:00AM)
Dear all,
The upcoming CART seminar is scheduled on November 8th (Friday), 10:00 - 11:00 (Korea time).
Speaker: Amanda Burcroff (Harvard University)
Title: Scattering Diagram and Generalized Positivity
Abstract: Cluster algebras are celebrated for their intriguing positivity properties. Two distinct proofs of this positivity have emerged: one through the combinatorics of Dyck paths, and another via scattering diagrams, which originate from mirror symmetry and were previously not combinatorially understood. Combining these approaches, we find a directly computable, manifestly positive, and elementary but highly nontrivial formula describing rank 2 scattering diagrams. Using this, we prove the Laurent positivity of generalized cluster algebras of all ranks, resolving a conjecture of Chekhov and Shapiro from 2014. This is joint work with Kyungyong Lee and Lang Mou.
You can join the seminar via the following
Zoom link: https://us06web.zoom.us/j/88924764772?pwd=9LluJetWgNnnNq946JFybbWouDSzyB.1
Meeting ID: 889 2476 4772
Passcode: 549977
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