Cart-seminar

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cart-seminar@snurep.crystalline.site

November 2024

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(Reminder) CART Seminar announcement (Jaewon Min, Nov 21 (Thu), 09:30AM)
by 오재성 20 Nov '24

20 Nov '24

Dear all, This is a gentle reminder of the CART seminar by Jaewon Min (University of Illinois Urbana-Champaign), on 09:30 - 10:30 tomorrow. Hope to see you at the seminar! Best regards, Jaeseong Oh -----------------------원본 메세지----------------------- 보낸사람: "오재성"<jsoh(a)kias.re.kr> 받는사람: jaewonm2(a)illinois.edu 참조: "Mathematics Members(mathall)" <mathall(a)kias.re.kr>, cart-seminar(a)snurep.crystalline.site 보낸날짜: 2024-11-15 14:06:48 GMT +0900 (Asia/Seoul)제목: CART Seminar announcement (Jaewon Min, Nov 21 (Thu), 09:30AM) 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

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CART Seminar announcement (Amanda Burcroff, Nov 8 (Fri), 10:00AM)
by 오재성 15 Nov '24

15 Nov '24

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

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