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
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 -----------------------원본 메세지----------------------- 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
Dear all,
The upcoming CART seminar is scheduled on November 21st (Thursday), 09:30 - 10:30 (Korea time). Please note the unusual time.
Speaker: Jaewon Min (University of Illinois Urbana-Champaign) Title: Saturation of Littlewood-Richardson coefficients and generalization Abstract: By inventing the notion of honeycombs, A. Knutson and T. Tao proved the saturation conjecture for Littlewood-Richardson coefficients in 1999. Combined with earlier work of A. A. Klyachko, this resolved Horn’s conjecture: relations between eigenvalues of Hermitian matrices A, B and A+B. The Newell-Littlewood numbers are a generalization of the Littlewood-Richardson coefficients. According to K. Koike, in stable range, they are also tensor product multiplicities of classical Lie groups: type B, C and D. By introducing honeycombs on a Möbius strip, I will discuss about the saturation theorem for Newell-Littlewood numbers.
You can join the seminar via the following
Zoom link: https://us06web.zoom.us/j/86108112630?pwd=7gdmJm9WkqqdwDxGZiKtobclM3Abj5.1 Meeting ID: 861 0811 2630 Passcode: 134470
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
participants (1)
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오재성