- Cart-seminar - snurep.crystalline.site

(Reminder) CART Seminar announcement (Christian Gaetz, Mar 14 (Fri), 10:30AM)
by 오재성 13 Mar '25

13 Mar '25

Dear all, This is a gentle reminder of the CART seminar by Christian Gaets (University of California, Berkeley), on 10:30 - 11:30 am tomorrow. Hope to see you at the seminar! Best regards, Jaeseong Oh ---------------------------------------------- Dear all, The upcoming CART seminar is scheduled on March 14th (Friday), 10:30 - 11:30 (Korea time). Speaker: Christian Gaets (University of California, Berkeley) Title: Hypercube decompositions and combinatorial invariance for Kazhdan-Lusztig polynomials Abstract: Kazhdan-Lusztig polynomials are of foundational importance in geometric representation theory. Yet the Combinatorial Invariance Conjecture, due to Lusztig and to Dyer, suggests that they only depend on the combinatorics of Bruhat order. I'll describe joint work with Grant Barkley in which we adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veličković-Williamson to prove this conjecture for Kazhdan-Lusztig R-polynomials in the case of elementary intervals in the symmetric group. This significantly generalizes the main previously known case of the conjecture, that of lower intervals. You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/83754139506?pwd=zzWTu3fgXbInC8EYagJzQfUaPo3J9n.1 Meeting ID: 837 5413 9506 Passcode: 800099 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 (Christian Gaetz, Mar 14 (Fri), 10:30AM)
by 오재성 06 Mar '25

06 Mar '25

Dear all, The upcoming CART seminar is scheduled on March 14th (Friday), 10:30 - 11:30 (Korea time). Speaker: Christian Gaets (University of California, Berkeley) Title: Hypercube decompositions and combinatorial invariance for Kazhdan-Lusztig polynomials Abstract: Kazhdan-Lusztig polynomials are of foundational importance in geometric representation theory. Yet the Combinatorial Invariance Conjecture, due to Lusztig and to Dyer, suggests that they only depend on the combinatorics of Bruhat order. I'll describe joint work with Grant Barkley in which we adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veličković-Williamson to prove this conjecture for Kazhdan-Lusztig R-polynomials in the case of elementary intervals in the symmetric group. This significantly generalizes the main previously known case of the conjecture, that of lower intervals. You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/83754139506?pwd=zzWTu3fgXbInC8EYagJzQfUaPo3J9n.1 Meeting ID: 837 5413 9506 Passcode: 800099 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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Seminar Announcement (Soyeon Kim, Braid variety cluster structure)
by 오재성 17 Dec '24

17 Dec '24

Dear all, I am pleased to announce the upcoming seminar this Friday (December 20th), 10:30 - 11:30. Speaker: Soyeon Kim (University of California, Davis) Title: Braid variety cluster structure Time: Dec. 20, Friday, 10:30 - 11:30 Venue: KIAS, Surim 204 Abstract: In 2022, it is shown by two groups of authors that braid variety admits a cluster structure. Casals-Gorsky-Gorsky-Le-Shen-Simental explained a cluster structure on braid varieties using a combinatorial model called weaves, while Galashin-Lam-Sherman-Bennett-Speyer introduced the combinatorial model called the 3D plabic graph to describe a cluster structure. In this talk, I will mainly review both combinatorial models and talk about relating one with another. This is a joint work with Roger Casals and Daping Weng. Looking forward to seeing you at the seminar! Best regards, Jaeseong Oh

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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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(Reminder) Seminar Announcement (Brendon Rhoades, Sep 5 (Thu), 10:30 am)
by 오재성 04 Sep '24

04 Sep '24

Dear KIAS members and CART seminar subscribers, This is a gentle reminder of the CART seminar by Brendon Rhoades (UCSD), on 10:30 - 11:30 tomorrow. Hope to see you at the seminar! Best regards, Jaeseong Oh ---------------------------------------------------------------------------------------------------- Dear all, (cc: Sin-Myung Lee) We are pleased to announce the relaunch of the CART seminar series! This event is also a part of the HCMC Algebra seminar (http://newton.kias.re.kr/~chlee/cas/). Our first CART seminar in this semster is scheduled for September 5 (Thursday) from 10:30 to 11:30 (Korea time). Professor Brendon Rhoades from UCSD will be delivering a presentation on "Harmonics and graded Ehrhart theory." (https://sites.google.com/view/cart-kias/) You can join the seminar via the following: Zoom link: https://us06web.zoom.us/j/85468134798?pwd=b54rZI2qw5p31ZR9YXfbesPriWNAo6.1 Meeting ID: 854 6813 4798 Passcode: 692005 To stay updated on future events, please subscribe to our mailing list via https://snurep.crystalline.site/postorius/lists/cart-seminar.snurep.crystal…. If you find it difficult to subscribe, feel free to ask any of the organizers. Additionally, your assistance in forwarding this seminar announcement to potentially interested parties would be greatly appreciated. Hope to see you at the seminar. Best regards, Jaeseong Oh

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CART Seminar Announcement (Sep 5 (Thu), 10:30 am)
by 오재성 29 Aug '24

29 Aug '24

Dear all, (cc: Sin-Myung Lee) We are pleased to announce the relaunch of the CART seminar series! This event is also a part of the HCMC Algebra seminar (http://newton.kias.re.kr/~chlee/cas/). Our first CART seminar in this semster is scheduled for September 5 (Thursday) from 10:30 to 11:30 (Korea time). Professor Brendon Rhoades from UCSD will be delivering a presentation on "Harmonics and graded Ehrhart theory." (https://sites.google.com/view/cart-kias/) You can join the seminar via the following: Zoom link: https://us06web.zoom.us/j/85468134798?pwd=b54rZI2qw5p31ZR9YXfbesPriWNAo6.1 Meeting ID: 854 6813 4798 Passcode: 692005 To stay updated on future events, please subscribe to our mailing list via https://snurep.crystalline.site/postorius/lists/cart-seminar.snurep.crystal…. If you find it difficult to subscribe, feel free to ask any of the organizers. Additionally, your assistance in forwarding this seminar announcement to potentially interested parties would be greatly appreciated. Hope to see you at the seminar. Best regards, Jaeseong Oh

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Seminar announcement (Hideya Watanabe, June 21 (Fri), 11:00AM)
by 이신명 20 Jun '24

20 Jun '24

Dear all, The upcoming CART seminar is scheduled on June 21st (Friday), 10:00 - 11:00 (Korea time). Speaker: Hideya Watanabe (Rikkyo University) Title: Combinatorial $K$-matrices arising from affine quantum symmetric pairs of type $A$ Abstract: A combinatorial $R$-matrix is a solution to the combinatorial Yang-Baxter equation, which plays a vital role in discrete dynamical systems such as box-ball systems. It has been known that the theory of crystal bases arising from quantum groups provides us with a framework to construct combinatorial $R$-matrices systematically. In a dynamical system which has a boundary, the role of the combinatorial Yang-Baxter equation is replaced by the combinatorial reflection equation, whose solutions are called combinatorial $K$-matrices. In this talk, based on a joint work with Hiroto Kusano and Masato Okado, I will explain how to construct combinatorial $K$-matrices systematically by means of the theory of crystal bases arising from affine quantum symmetric pairs of type $A$. You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/84037748851?pwd=MaC7wkX5TTLAQAGRr7L4uVgfs9Vaqd.1 Meeting ID: 840 3774 8851 Passcode: 640815 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, Sin-Myung Lee

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(Reminder) Seminar announcement (Theo Douvropoulos, May 24 (Fri), 10:00AM)
by 오재성 23 May '24

23 May '24

Dear CART seminar subscribers and members at KIAS, This is a gentle reminder of the CART seminar 24 hours later, scheduled on May 24th (Friday) from 10:00 to 11:00 (Korea time). Theo Douvropoulos from Brandeis University will be delivering a presentation on "Parking functions on the cluster complex and Cyclic Sieving Phenomena." (https://sites.google.com/view/cart-kias/) You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/83575728672?pwd=cli8XXS4hFyhHctfmufrW1LY32Agph.1 Meeting ID: 835 7572 8672 Passcode: 362037 We would be very grateful if you could circulate the seminar information to potentially interested parties. If someone want to subscribe to our seminar, please send them the link: https://snurep.crystalline.site/postorius/lists/cart-seminar.snurep.crystal…. Hope to see you at the seminar. Best regards, Jaeseong Oh

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Seminar announcement (Theo Douvropoulos, May 24 (Fri), 10:00AM)
by 오재성 21 May '24

21 May '24

Dear CART seminar subscribers and members at KIAS, The upcoming CART seminar is scheduled on May 24th (Friday) from 10:00 to 11:00 (Korea time). Theo Douvropoulos from Brandeis University will be delivering a presentation on "Parking functions on the cluster complex and Cyclic Sieving Phenomena." (https://sites.google.com/view/cart-kias/) You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/83575728672?pwd=cli8XXS4hFyhHctfmufrW1LY32Agph.1 Meeting ID: 835 7572 8672 Passcode: 362037 We would be very grateful if you could circulate the seminar information to potentially interested parties. If someone want to subscribe to our seminar, please send them the link: https://snurep.crystalline.site/postorius/lists/cart-seminar.snurep.crystal…. Hope to see you at the seminar. Best regards, Jaeseong Oh

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