- Seminar-Announce - snurep.crystalline.site

K-homology Schubert calculus of the symplectic affine Grassmannian
by 이수홍 / 학생 / 수리과학부 09 Feb '25

09 Feb '25

구독자 여러분께, 안녕하세요, 오는 2월 14일에 예정된 조합론 강연에 대해 전달해 드립니다. 강연 상세 정보를 하단에 첨부하였으며, https://qsms.math.snu.ac.kr/board_sjXR83/3154 에서도 이를 확인하실 수 있습니다. 관심 있으신 분들의 많은 참여 바랍니다. 감사합니다. 이수홍 올림 _______________________________________________ Date: 2025년 2월 14일 금요일 오후 4:00 ~ 5:00 Place: 27동 220호 Speaker: Takeshi Ikdea (Waseda University) Title: K-homology Schubert calculus of the symplectic affine Grassmannian Abstract: The Schubert calculus of the affine Grassmannian is known to be equivalent to the quantum Schubert calculus of the flag variety. In this talk, I focus on the case of the symplectic group. We introduce a class of symmetric functions, called the affine dual Schur functions of symplectic type, whose set forms the Schubert basis for the ring of equivariant K-homology of the affine Grassmannian of the symplectic group. Time permitting, I will also discuss the connection to the equivariant K-theory of the flag variety. This talk is primarily based on joint work with Mark Shimozono and Kohei Yamaguchi.

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A mini-workshop on Representation Theory at Sogang
by Soo-Hong Lee (SNU) 18 Dec '24

18 Dec '24

구독자 여러분께, 서강대에서 열리는 표현론 강연에 대해 안내드립니다. 장소: 서강대학교 R관 14층 세미나실 1418호 시간: 12월 19일 목요일 16:00 - 18:00 강연 후 저녁식사가 있을 예정입니다. 관심 있으신 분들의 많은 참석 바랍니다. 이수홍 올림 _______________________________________________ A mini-workshop on Representation Theory at Sogang 16:00 ~ 16:40 정우석 (서울시립대) Title: Twist automorphism of quantum unipotent coordinate ring and their period Abstract. Let N^w denote the unipotent cell associated with an element w of a Weyl group. The twist automorphism of N^w is a structure closely related to total positivity. When w is the longest element of type A_n, this automorphism is known to exhibit 6-periodicity. In this work, we provide a combinatorial description of the twist automorphism and investigate its periodic behavior for Weyl group elements beyond the longest element. This is ongoing joint work with Euiyong Park. 16:50 ~ 17:30 김영훈(서울대 수리과학부 QSMS) Title: A classification of weak Bruhat interval modules of 0-Hecke algebras Abstract. In 2022, Jung—Kim—Lee—Oh introduced weak Bruhat interval modules of 0-Hecke algebras of type A as a unified framework for studying various 0-Hecke modules. The concept was extended to finite Coxeter types by Defant—Searles and Bardwell—Searles. Recently, Yang and Yu showed that two weak Bruhat interval modules of a 0-Hecke algebra are isomorphic if and only if their underlying weak Bruhat intervals are descent-preserving isomorphic. In this talk, we will study the results established by Yang and Yu. 17:30 ~ 18:00 연구 과제 토론

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표현론 강연 안내 (On finite-dimensional representations of quantum affine superalgebras of type A)
by Soo-Hong Lee (SNU) 23 Nov '24

23 Nov '24

구독자 여러분께, 안녕하세요, 12월 2일에 예정된 표현론 강연에 대해 안내드립니다. 강연 상세 정보를 하단에 첨부하였으며, https://qsms.math.snu.ac.kr/board_sjXR83/3084 에서도 확인하실 수 있습니다. 관심 있으신 분들의 많은 참여 바랍니다. 감사합니다. 이수홍 올림 _______________________________________________ Date: 2024-12-02 (월요일) 15:00 ~ 17:00 Place: 129-406 Speaker: 이신명 (고등과학원) Title: On finite-dimensional representations of quantum affine superalgebras of type A Abstract: Although there has been several progress on finite-dimensional representations of quantum affine superalgebras, most of key results in non-super theory are still missing. This talk aims to demonstrate difficulties and peculiarities arising in super theory. For this, we first review what is known (and not known) about finite-dimensional representations of quantum affine superalgebras of type A, mainly in terms of Drinfeld presentation and from purely representation-theoretic point of view. Then we discuss some super phenomena and hence which kind of statements can be expected for super, including the theory of q-characters.

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Fwd: lecture series on the mixed quantum group
by 이수홍 / 학생 / 수리과학부 12 Nov '24

12 Nov '24

구독자 여러분께, Mixed quantum group에 대한 zoom 강의에 대해 알려드립니다. 관심 있으신 분들의 많은 참여 바랍니다. 이수홍 올림 ---------- Forwarded message ---------- From: Jae-Hoon Kwon <jaehoonkw(a)gmail.com> Date: Nov 12, 2024, 2:25 PM +0900 To: Soo Hong Lee <sshh2662(a)snu.ac.kr> Subject: Fwd: lecture series on the mixed quantum group > > Dear colleagues, > > I'm writing to advertise a lecture series on the mixed quantum group given by Quan Situ at POSTECH on November 19 and 21. The mixed quantum group is a version of the quantum group at a root of unity interpolating between Lustzig's version and the De Concini-Kac version; its structure and category (O) of representations have recently been of interest in representation theory (connections with Lustzig's quantum group, the small quantum group, KL theory and geometry) as well as in number theory (fundamental local equivalence, metaplectic local Langlands etc.). > > The lectures will be on zoom. See below for details. I would be grateful if you can forward this message to anyone who might be interested in the talks. > > If you have any questions about the lecture series please let me know. > > With best wishes, > Valentin > > ####################################### > > Lecture Series on the hybrid (mixed) quantum group > Title: Hybrid quantum group and its representation theory > Speaker: Quan Situ > Affiliation: Université Clermont Auvergne > Dates: November 19 and November 21 > Time: 6pm-8pm/8:30pm South Korea time > Website (has all the info, zoom links etc. ): buciumas.github.io/postech-representation-theory/index > Zoom link I (November 19): us06web.zoom.us/j/9450725725?pwd=MldrQkg3TURkOTEwQy92U1gzOHVUdz09&omn=89681414519 > Zoom link II (November 21): us06web.zoom.us/j/9450725725?pwd=MldrQkg3TURkOTEwQy92U1gzOHVUdz09&omn=81861224988 > Abstract: The hybrid (or mixed) quantum group is a quantum algebra with triangular decomposition whose positive part is given by the one of Lusztig’s quantum group, and whose negative part is given by the one of De Concini-Kac quantum group. Its category O can be viewed as a quantum analogue of the BGG category O for semi-simple Lie algebra. In the first talk, I will start by recalling basic results on structures and representations of Lusztig’s quantum group, De Concini-Kac quantum group and small quantum group. Then I will introduce the hybrid quantum group and its relation with the quantum algebras above. I will also introduce its category O and discuss some fundamental structures, e.g. block decomposition, linkage principle, BGG reciprocity and translation functors. In the second talk, I will focus on the principal block and the Steinberg block of this category O. The main result is equivalences from these blocks to coherent-sheaf-theoretic incarnations of the (singular) affine Hecke category. As an application, the principal block is a categorification of the periodic Hecke module, and in particular the (graded) multiplicity of simple module inside Verma module is given by the “generic Kazhdan-Lusztig polynomial”.

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Fwd: 大阪公立大学理学国際教育研究センター(11/8)
by 이수홍 / 학생 / 수리과학부 07 Nov '24

07 Nov '24

구독자 여러분께, Quantum affine algebra 관련 talk 하나를 소개해 드립니다. 관심 있으신 분의 많은 참여 바랍니다. 이수홍 올림 ---------- Forwarded message ---------- From: 'Yoshiyuki Kimura' via Minami Osaka Daisu Seminar <modseminar(a)googlegroups.com> Date: Nov 7, 2024, 12:15 AM +0900 To: modseminar(a)googlegroups.com Subject: 大阪公立大学理学国際教育研究センター(11/8) > 皆様 > > 以下の要領にて、大阪公立大学理学国際教育研究センターの研究セミナーが開催されます。 > > タイトル: Shifted quantum affine algebras and cluster algebras > 日時: 11月8日（木）16:45～17:45 > 会場: 理学部E棟 4階 E408 > > アブストラクト: > This is a report on a joint work with Christof Geiss and David Hernandez (arXiv:2401.04616). Shifted quantum affine algebras have been introduced by Finkelberg and Tsymbaliuk in their study of quantized K-theoretic Coulomb branches of certain quiver gauge theories. Their representation theory has been studied by Hernandez, who constructed a category O containing finite-dimensional and infinite-dimensional representations. We introduce a new class of infinite rank cluster algebras associated with A-D-E root systems, and show that suitable completions of these cluster algebras are isomorphic to the Grothendieck rings of the category O of the corresponding shifted quantum affine algebras. In this isomorphism, the cluster variables of the initial seed are mapped to certain Q-variables and the most interesting first step mutations are instances of the QQ-system relations studied recently by Frenkel and Hernandez (arXiv:2312.13256). We conjecture that the images of all cluster monomials are classes of simple objects of O. We prove the conjecture in type A_1. We also show that it holds for the subcategory C of O whose objects are the finite-dimensional representations. > > Zoomリンク: https://omu-ac-jp.zoom.us/j/95574428004?pwd=5Ipu0bO5VqouFxIPhZ9JjurPHalnZy.1 > ミーティングID: 955 7442 8004 > パスコード: 959143 > > 皆様のご参加をお待ちしております。 > > 少しフォーマットも整えてあります。よろしければご確認ください。 > > -- > Yoshiyuki Kimura > Faculty of Liberal Arts, Sciences and Global Education > Osaka Metropolitan University > 1-1 Gakuen-cho, Nakaku, > Sakai, Osaka 599-8531, > Japan > Research map: http://researchmap.jp/ysykmr/ > -- > You received this message because you are subscribed to the Google Groups "Minami Osaka Daisu Seminar" group. > To unsubscribe from this group and stop receiving emails from it, send an email to modseminar+unsubscribe(a)googlegroups.com. > To view this discussion visit https://groups.google.com/d/msgid/modseminar/9ba7a32a-a6e3-481d-a291-c84d80….

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표현론 학회 안내 (CART 2024)
by Soo-Hong Lee (SNU) 06 Nov '24

06 Nov '24

구독자 여러분께, 다음달에 개최 예정인 표현론 학회에 대해 안내드립니다. Conference on Algebraic Representation Theory (CART) 2024 https://qsms.math.snu.ac.kr/CART2024 관심 있으신 분들의 많은 참여 바라며, 참가하실 경우 웹사이트에서 등록해주시기 바랍니다. 감사합니다. 이수홍 올림

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Fwd: [FPSAC] FPSAC 2025 - Second Announcement
by Soo-Hong Lee (SNU) 06 Nov '24

06 Nov '24

구독자 여러분께, 내년 여름에 홋카이도에서 개최될 FPSAC 2025 관련 정보를 전달해 드립니다. 참가를 희망하는 학생은 권재훈 교수님께 연락 드리시기 바랍니다. 감사합니다. 이수홍 올림 ---------- Forwarded message --------- From: Travis Scrimshaw <tcscrims(a)gmail.com [mailto:tcscrims@gmail.com]> Date: Tue, Nov 5, 2024 at 4:10 PM Subject: [FPSAC] FPSAC 2025 - Second Announcement To: <fpsac2025(a)math.sci.hokudai.ac.jp [mailto:fpsac2025@math.sci.hokudai.ac.jp]> Dear friends of the conference series "Formal Power Series and Algebraic Combinatorics"! Please forward this email to anyone who might be interested! If you wish to be added to this mailing list, please visit https://lists.ruhr-uni-bochum.de/mailman/listinfo/fpsac-announcements [https://lists.ruhr-uni-bochum.de/mailman/listinfo/fpsac-announcements] This is the second announcement for FPSAC 2025 and a reminder that the deadline for submitting your extended abstract is on Friday, November 15th (less than 2 weeks from today). ===================== FPSAC 2025 37th Annual International Conference on Formal Power Series and Algebraic Combinatorics ===================== July 21-25, 2025 Hokkaido University, Japan https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/ [https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/] ===================== Topics: All aspects of combinatorics and their relations with other parts of mathematics, physics, computer science, and biology. Conference program: * Invited lectures, contributed presentations, poster sessions, and software demonstrations. There will be no parallel sessions. * FPSAC 2025 is planned as an in-person event. Given sufficient interest, we plan to offer participation via Zoom for participants who are unable to attend in person. Official language: * English Invited speakers: * Matthias Beck (San Francisco State University, United Stated) * Joanna Ellis-Monaghan (Korteweg-de Vries Instituut voor Wiskunde, Universiteit van Amsterdam, Netherlands) * Christoph Koutschan (RICAM, Austrian Academy of Sciences, Austria) * Jae-Hoon Kwon (Seoul National University, South Korea) * Stephen Melczer (University of Waterloo, Canada) * Mateusz Michałek (Universität Konstanz, Germany) * Maki Nakasuji (Sophia University and Tohoku University, Japan) * Jessica Striker (North Dakota State University, United States) * Karen Yeats (University of Waterloo, Canada) Program Committee co-chairs: * Satoshi Murai (Waseda University, Japan) * Soichi Okada (Nagoya University, Japan) * Mercedes Rosas (Universidad de Sevilla, Spain) The full program committee can be found in both of the following locations: * https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/committees/ [https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/committees/] * http://fpsac.org/confs/fpsac-2025/ [http://fpsac.org/confs/fpsac-2025/] Organizing Committee chair: * Yasuhide Numata (Hokkaido University, Japan) Call for papers and posters: * Authors are invited to submit extended abstracts of at most twelve (12) pages by November 15, 2024. Accepted extended abstracts will be published in a volume of Séminaire Lotharingien de Combinatoire dedicated to FPSAC 2025. * Submissions are now open. Instructions for submissions are available on the conference website: https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/submissions/ [https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/submissions/] Extended abstracts will need to be submitted through the SoftConf website: https://softconf.com/p/fpsac2025/ [https://softconf.com/p/fpsac2025/] * Please note that for each submission, you must indicate which author will present the work, and that they are expected to present in-person. See https://fpsac.org/about/ [https://fpsac.org/about/] for a statement on how in-person participation contributes to the goals of FPSAC. Software demonstrations: * Demonstrations of software relevant to the topics of the conference are encouraged and should be submitted by March 15, 2025. Instructions for submission will be available on the conference website. Best student paper award: * In an ongoing FPSAC tradition, an award will be made for the best paper submitted by a (under)graduate student. Students submitting extended abstracts are invited to indicate their eligibility for this award. Participant support: * There will be partial support available for participants. All requests should be sent by March 15, 2025. Details for funding applications will be available on the conference website in due time. Important dates: All important dates are listed at https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/ [https://www.math.sci.hokudai.ac.jp/sympo/fpsac2025/] * Deadline for paper/poster submissions is November 15, 2024 * Registration opens on February 15, 2025 * Deadline for travel support requests is March 15, 2025 * Deadline for software demonstration submissions is March 15, 2025 * Early-bird registration ends on April 15, 2025 If you have any questions, you can contact us at fpsac2025(a)math.sci.hokudai.ac.jp [mailto:fpsac2025@math.sci.hokudai.ac.jp]. Further information will be provided in later announcements. If you wish to be removed from this mailing list, please visit https://lists.ruhr-uni-bochum.de/mailman/listinfo/fpsac-announcements [https://lists.ruhr-uni-bochum.de/mailman/listinfo/fpsac-announcements] The FPSAC2025 Local Organizing Committee Kyouko Kimura, Nanao Kita, Tomoo Matsumura, Yasuhide Numata, Travis Scrimshaw -- FPSAC-announcements mailing list FPSAC-announcements(a)lists.ruhr-uni-bochum.de [mailto:FPSAC-announcements@lists.ruhr-uni-bochum.de] https://lists.ruhr-uni-bochum.de/mailman/listinfo/fpsac-announcements [https://lists.ruhr-uni-bochum.de/mailman/listinfo/fpsac-announcements]

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조합론 강연 안내 (Towards plethystic formulas for wreath Macdonald polynomials)
by Soo-Hong Lee (SNU) 24 Sep '24

24 Sep '24

구독자 여러분께, 안녕하세요, 내일 (9월 25일) 예정된 조합론 강연에 대해 안내드립니다. http://www.math.snu.ac.kr/board/index.php?mid=seminars&document_srl=1277661 강연 상세 정보를 하단에 첨부하였으며, 관심 있으신 분들의 많은 참여 바랍니다. 감사합니다. 이수홍 올림 _______________________________________________ Towards plethystic formulas for wreath Macdonald polynomials Date 2024-09-25 Speaker Joshua Wen Dept. Universität Wien Room 27-325 Time 14:30-16:00 Defined by Haiman, the wreath Macdonald polynomials are a generalization of the modified Macdonald polynomials where the symmetric groups are replaced by their wreath products with a fixed cyclic group. Through a wreath analogue of the Frobenius characteristic, they correspond to partially-symmetric functions. Their existence and Schur positivity were proved by Bezrukavnikov--Finkelberg using geometric methods, and many of their combinatorial aspects remain unexplored. In this talk, I will introduce them from a symmetric-function-theoretic perspective, building up to a conjectural wreath generalization of the plethystic formula of Garsia--Haiman--Tesler (GHT). If time permits, I will discuss the interplay with quantum toroidal algebras, both in the original GHT formula and in the wreath setting.

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AI for Mathematics Workshop on Formalization
by Soo-Hong Lee (SNU) 12 Sep '24

12 Sep '24

구독자 여러분께, 이번 겨울에 개최될 수학의 형식화에 대한 워크샵을 소개해 드립니다. _______________________________________________ AI for Mathematics Workshop on Formalization 장소: KIAS 8101 일시: 2024년 12월 17일 홈페이지: http://events.kias.re.kr/h/AIforMath/ [http://events.kias.re.kr/h/AIforMath/] _______________________________________________ 수학의 형식화에 대한 최신 트렌드를 살펴보고, 실제로 수학적 명제들을 직접 형식화하는 실습 기회를 제공한다고 합니다. 워크샵에 대한 자세한 정보는 워크샵 홈페이지를 참조하시기 바라며, 관심있으신 분들의 많은 참여 바랍니다. 이수홍 올림 Introduction Today, artificial intelligence is having a significant impact across various sectors, and mathematics research is no exception. In recent years, AI-driven research has been actively conducted not only in applied mathematics but also in pure mathematics, presenting a new direction for the field. This workshop aims to explore the relationship between AI and mathematics research, discussing current trends and future directions. In particular, we will focus on the topic of formalizing mathematics as the first step in this broader subject. Formalizing mathematics refers to the process of translating mathematical statements and proofs, which are typically written in natural language, into a formal language that can be understood by computers. This process plays a crucial role in deep learning for mathematical reasoning and automatic proof checking. In this workshop, we will discuss the importance of formalizing mathematics, its current trends, and offer hands-on experience by formalizing several mathematical statements and proofs. As this topic is being actively discussed globally, we hope this workshop will serve as a starting point for further discussions on this important field within the domestic academic community. To attend workshop, please register. [http://events.kias.re.kr/h/AIforMath/?pageNo=5702] Speakers Byung-Hak Hwang (KIAS) Soonho Kong (Amazon Web Services) Jineon Baek (Yonsei University) Yeachan Park (KIAS) Organizers Chul-hee Lee (KIAS) Kyu-Hwan Lee (University of Connecticut)

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Team Seminar Plans preparing Yangian school
by 최동준 01 Jul '24

01 Jul '24

안녕하세요, 6월 말부터 7월 초까지 짧게 있을 세미나를 소개드립니다. 7월 8일 ~ 7월 10일에는 Yangian의 표현을 배울 수 있는 QSMS Summer School이 있을 예정입니다. 자세한 정보는 아래 링크를 참조하세요 : https://sites.google.com/view/qsms2024ssrt https://sites.google.com/view/qsms2024ssrt Yangian의 대수 구조는 finite W-algebra, 그리고 quantum affine algebra와 깊은 관계를 가지고 있습니다. 따라서 QSMS Summer School 이전에 Yangian과 관련된 구조를 중심으로 finite W-algebra, quantum affine algebra를 공부하는 세미나를 진행하려 합니다. 세미나 정보는 다음과 같습니다 : 6월 24일 14:00 ~ 15:30 129동 309호, Finite W-algerba, 이강산6월 26일 14:00 ~ 15:30 129동 301호, Finite W-algerba., 윤상원7월 1일 14:00 ~ 15:30 129동 309호, Quantum affine algebra, 박민희7월 3일 14:00 ~ 15:30 129동 301호, Quantum affine algebra, 최동준세미나 주제에 관심이 있으신 분들께서는 자유롭게 참석 가능하시며, 궁금한 점이 있다면 제게 알려주시기 바랍니다. 감사합니다. 최동준 드림 I would like to introduce a short seminar series that will be held from late June to early July. From July 8 to July 10, the QSMS Summer School will take place, focusing on the representations of the Yangian. For more information, please visit : https://sites.google.com/view/qsms2024ssrt https://sites.google.com/view/qsms2024ssrt The algebraic structure of the Yangian is closely related to finite W-algebra and quantum affine algebra. Therefore, before the QSMS Summer School, we plan to hold seminars focusing on these related structures. The seminar details are as follows : June 24, 14:00 ~ 15:30, Room 309, Building 129, finite W-algebra, presented by 이강산June 26, 14:00 ~ 15:30, Room 301, Building 129, finite W-algebra, presented by 윤상원July 1, 14:00 ~ 15:30, Room 309, Building 129, quantum affine algebra, presented by 박민희July 3, 14:00 ~ 15:30, Room 301, Building 129, quantum affine algebra, presented by 최동준If you are interested in the seminar topics, please feel free to attend. If you have any questions, do not hesitate to contact me. Thank you. Best regards, Dong-Jun Choi

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