Sagaki Daisuke
- Affiliation
- Institute of Pure and Applied Sciences
- Official title
- Professor
- KAKEN ID
- 40344866
- Office
- 自然系学系棟D607号室
- Research fields
Algebra - Research keywords
Representation Theory Combinatorics Lie Algebra Quantum Group Quantum Affine Algebra Kirillov-Reshetikhin module Crystal Basis Crystal Path Model Lakshmibai-Seshadri path more... - Research projects
旗多様体の量子K群における構造定数の組合せ論的な記述 2023 -- 2026 佐垣 大輔 Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C) 4,810,000Yen EW加群におけるDemazure加群の半無限LSパスを用いた研究と幾何的応用 2019 -- 2022 佐垣 大輔 Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C) 4,290,000Yen Kirillov-Reshetikhin 加群の結晶基底とその組合せ論的実現 2015 -- 2018 佐垣 大輔 Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C) 4,810,000Yen アフィン・リー代数の臨界レベルの加群に対するパス模型の構成 2011 -- 2014 佐垣 大輔 Japan Society of for the Promotion of Science/若手研究(B) 2,080,000Yen 古典制限１次元状態和や数理物理学に現れる特殊多項式のパス模型を用いた研究 2007 -- 2010 佐垣 大輔 Japan Society of for the Promotion of Science/若手研究(B) 4,020,000Yen アフィン量子群の有限次元表現，及び，その結晶基底に関する研究 2004 -- 2006 佐垣 大輔 Japan Society of for the Promotion of Science/若手研究(B) 2,600,000Yen - Career history
2019-08 -- (current) 国立大学法人筑波大学大学院数理物質系数学域教授 2011-11 -- 2019-07 国立大学法人筑波大学大学院数理物質系数学域准教授 2008-06 -- 2011-11 国立大学法人筑波大学大学院数理物質科学研究科講師 2007-04 -- 2008-06 国立大学法人筑波大学大学院数理物質科学研究科助教 2004-04 -- 2007-03 国立大学法人筑波大学大学院数理物質科学研究科助手 - Academic background
1999-04 -- 2002-03 University of Tsukuba Graduate School, Division of Mathematics Mathematics 1997-04 -- 1999-03 Kyoto University Graduate School, Division of Natural Science Mathematics 1993-04 -- 1997-03 Kyoto University Faculty of Science Department of Mathematics - Degree
2002-03 Doctor Degree of Science University of Tsukuba 1999-03 Master Degree of Science Kyoto University - Articles
- Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum K-group of partial flag manifolds
Kouno Takafumi; Naito Satoshi; Sagaki Daisuke
JOURNAL OF COMBINATORIAL THEORY SERIES A/192, 2022-11 - Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds
Naito Satoshi; Orr Daniel; Sagaki Daisuke
ADVANCES IN MATHEMATICS/387, 2021-08 - Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type
Kouno Takafumi; Naito Satoshi; Orr Daniel; Sagaki Dai...
FORUM OF MATHEMATICS SIGMA/9, 2021-07 - Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2
Sagaki Daisuke; Yu Dongxiao
COMMUNICATIONS IN ALGEBRA/Epub, 2020-09 - EQUIVARIANT K-THEORY OF SEMI-INFINITE FLAG MANIFOLDS AND THE PIERI-CHEVALLEY FORMULA
Kato Syu; Naito Satoshi; Sagaki Daisuke
DUKE MATHEMATICAL JOURNAL/169(13)/pp.2421-2500, 2020-09 - LEVEL-ZERO VAN DER KALLEN MODULES AND SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS ATt= infinity
Naito Satoshi; Sagaki Daisuke
TRANSFORMATION GROUPS/26/pp.1077-1111, 2021-09 - 量子Bruhatグラフを用いたレベル・ゼロLSパスの表示 (組合せ論的表現論とその周辺)
佐垣 大輔
RIMS Kokyuroku/1870/pp.127-136, 2013-12
- Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum K-group of partial flag manifolds
- Books
- Crystal bases, path models, and a twining character formula for Demazure modules
佐垣 大輔
2002-03
- Crystal bases, path models, and a twining character formula for Demazure modules
- Conference, etc.
- Chevalley type formula for level-zero Demazure modules in terms of the quantum alcove model
Sagaki Daisuke
Discussion Meeting on Representation Theory 2020/2020-12-10--2020-12-12 - Chevalley type and Monk type formulas for level-zero Demazure modules
Sagaki Daisuke
Crystals and Their Generalizations/2019-03-25--2019-03-29 - Combinatorial standard monomial theory for semi-infinite Lakshmibai-Seshadri paths
Sagaki Daisuke
Conference on Algebraic Representation Theory/2018-11-30--2018-12-02 - Specializations of nonsymmetric Macdonald polynomials and Demazure type submodules of extremal weight modules
Sagaki Daisuke
Infinite Analysis 17: Algebraic and Combinatorial Aspects in Integrable Systems/2017-12-04--2017-12-07 - Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras
Sagaki Daisuke
Lectures in Seoul National University/2017-12-28--2017-12-29 - Introduction to extremal weight modules for quantum affine algebras
Sagaki Daisuke
Spring School on Representation Theory/2017-03-13--2017-03-17 - Description of level-zero Lakshmibai-Seshadri paths in terms of the quantum Bruhat graph
Sagaki Daisuke
Shanghai Workshop on Representation Theory Special session at Osaka/2012-12-15--2012-12-16 - 量子 Bruhat グラフを用いたレベル・ゼロ LS パスの表示
佐垣 大輔
組合せ論的表現論とその周辺/2012-10-09--2012-10-12
- Chevalley type formula for level-zero Demazure modules in terms of the quantum alcove model
- Teaching
2023-10 -- 2024-02 Research in Algebra IIA University of Tsukuba. 2023-10 -- 2024-02 Seminar on Mathematics University of Tsukuba. 2023-04 -- 2023-08 Seminar on Mathematics University of Tsukuba. 2023-04 -- 2023-08 Research in Algebra IB University of Tsukuba. 2023-10 -- 2024-02 Research in Algebra IVA University of Tsukuba. 2023-04 -- 2023-08 Research in Algebra IIIB University of Tsukuba. 2023-10 -- 2024-02 Research in Algebra IA University of Tsukuba. 2023-10 -- 2024-02 Research in Algebra VA University of Tsukuba. 2023-10 -- 2024-02 Research in Algebra IIIA University of Tsukuba. 2023-04 -- 2023-08 Research in Algebra VB University of Tsukuba. more... - Other educational activities
2009-08 -- 2009-08 筑波大学数学類体験学習（世話人） 筑波大学 2008-08 -- 2008-08 筑波大学数学類体験学習（講師） 筑波大学 - University Management
2022-04 -- 2024-03 数理物質系運営委員 2022-04 -- 2024-03 学群教育会議委員 2022-04 -- 2024-03 理工学群運営委員 2022-04 -- 2023-03 理系女子学生に選ばれる大学TFメンバー 2022-04 -- 2024-03 理工学群数学類 数学類長 2020-04 -- 2022-03 アドミッションセンター専門委員 2020-04 -- 2022-03 理工学群共通数学検討委員 2020-04 -- 2022-03 理工学群FD実行委員長 2020-04 -- 2022-03 理工学群総合政策室員 2020-04 -- 2021-03 理工学群広報委員 more...
(Last updated: 2022-06-21)