March 2025 - Cart-seminar - snurep.crystalline.site

CART Seminar announcement (Serena An and Katherine Tung, Apr 3 (Thu), 10:30AM)
by 오재성 27 Mar '25

27 Mar '25

Dear all, The upcoming CART seminar is scheduled for April 3rd (Thursday), 10:30 - 11:30 (Korea time). Speaker: Serena An (Massachusetts Institute of Technology, USA) and Katherine Tung (Harvard University, USA) Title: Postnikov–Stanley polynomials are Lorentzian Abstract: The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, Mészáros, and St. Dizier in 2022. We give an alternative, elementary proof of this result, explicitly characterize the Newton polytopes of dual Schubert polynomials, and provide a polynomial-time algorithm for determining if a dual Schubert polynomial coefficient vanishes. We furthermore generalize the M-convexity result by showing that Postnikov–Stanley polynomials, also called skew dual Schubert polynomials, are Lorentzian. This work is joint with Yuchong Zhang and is contained in papers arXiv:2411.16654 and arXiv:2412.02051. You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/86248755466?pwd=J0AVcWEKab1siO8KQ4yeXQgFkKJyqo.1 Meeting ID: 862 4875 5466 Password: 673602 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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(Remind) CART Seminar announcement (Kang Lu, Mar 28 (Fri), 10:00AM)
by 이신명 27 Mar '25

27 Mar '25

Dear all, This is a gentle reminder of the CART seminar by Kang Lu (University of Virginia) on 10:00 - 11:00 am tomorrow (in Korea time). Hope to see you at the seminar! Best regards, Sin-Myung Lee -----------------------원본 메세지----------------------- 보낸사람: "이신명"<sinmyunglee(a)kias.re.kr> 받는사람: "Mathematics Members(mathall)" <mathall(a)kias.re.kr>, cart-seminar(a)snurep.crystalline.site 참조: "Lu,Kang (wbt4qn)" <kang.lu(a)virginia.edu> 보낸날짜: 2025-03-21 23:36:39 GMT +0900 (Asia/Seoul)제목: CART Seminar announcement (Kang Lu, Mar 28 (Fri), 10:00AM) Dear all, The upcoming CART seminar is scheduled for March 28th (Friday), 10:00 - 11:00 (Korea time). Speaker: Kang Lu (University of Virginia, USA) Title: A Drinfeld presentation of twisted Yangians and applications Abstract: Twisted Yangians were first introduced in R-matrix presentation by Olshanski in 1990 in connections with classical Lie algebras and more generally by Molev-Ragoucy and Guay-Regelskis associated with symmetric pairs of classical type. A Drinfeld type current presentation of (quasi-)split twisted Yangians has been recently obtained in two different approaches, and in this talk we will explain the Gauss decomposition approach. Then we shall outline ongoing work on generalizations and applications of the Drinfeld presentation. This is based on joint work of Weiqiang Wang, Weinan Zhang and collaborators. You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/87862623868?pwd=9Loka6Gl9GUjIulSk3o287ctcWmGba.1 Meeting ID: 878 6262 3868 Password: 753940 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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CART Seminar announcement (Kang Lu, Mar 28 (Fri), 10:00AM)
by 이신명 21 Mar '25

21 Mar '25

Dear all, The upcoming CART seminar is scheduled for March 28th (Friday), 10:00 - 11:00 (Korea time). Speaker: Kang Lu (University of Virginia, USA) Title: A Drinfeld presentation of twisted Yangians and applications Abstract: Twisted Yangians were first introduced in R-matrix presentation by Olshanski in 1990 in connections with classical Lie algebras and more generally by Molev-Ragoucy and Guay-Regelskis associated with symmetric pairs of classical type. A Drinfeld type current presentation of (quasi-)split twisted Yangians has been recently obtained in two different approaches, and in this talk we will explain the Gauss decomposition approach. Then we shall outline ongoing work on generalizations and applications of the Drinfeld presentation. This is based on joint work of Weiqiang Wang, Weinan Zhang and collaborators. You can join the seminar via the following Zoom link: https://us06web.zoom.us/j/87862623868?pwd=9Loka6Gl9GUjIulSk3o287ctcWmGba.1 Meeting ID: 878 6262 3868 Password: 753940 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) 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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