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일정시작 2023-12-13
배경색상 #77CC00
  • Date:  2023-12-13 (Wed) 10:00 AM ~ 12:00 PM
  • Place:  129-406 (SNU)
  • Speaker:  김현문 (University of Toronto)
  • Title:  A user’s guide to Schubert calculus of Lagrangian Grassmannians
  • Abstract: Understanding the topology of real and complex Lagrangian Grassmannians is a classical question. In varying degrees, the topology of real Lagrangian Grassmannians was investigated by Borel (1951), Arnold (1967), Fuks (1968), Fuchs (2004), and Rabelo (2016), and for complex Lagrangian Grassmannians, by Borel (1951), Bernstein-Gelfand-Gelfand (1973), and Pragacz (1991). One of the tools to understand them has been the Schubert / Arnold / Bruhat cell decomposition. However, the natural inclusion of the real Lagrangian Grassmannian inside the complex Lagrangian Grassmannian, does not induce maps of chain complexes. We will show how to subdivide the complex Schubert cells so that the inclusion map induces a chain map. We will also give an updated user’s guide to understanding the topology the real Lagrangian Grassmannians using shifted Young diagrams of Pragacz.

List of Articles
번호 제목 글쓴이 날짜 조회 수
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72 [2021 KMS Annual Meeting] Related talks qsms 2021.10.05 17742
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70 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 17759
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68 [QSMS Seminar 2021.09.30] Schur-Weyl duality, old and new & Quantum symmetric pairs and Schur-type dualities qsms 2021.09.10 17790
67 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 17816
66 [Seminar 2021.03.19] Introduction to zeta functions of groups and rings qsms 2021.03.04 17845
65 [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds qsms 2022.08.04 17868
64 [QSMS Monthly Seminiar] Symplectic homology and the McKay correspondence qsms 2021.01.11 17894
63 [Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring qsms 2021.04.09 17904
62 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 17905
61 [Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level qsms 2021.05.04 17918
60 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 17991
59 [SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions qsms 2021.10.20 17994
58 [QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology qsms 2023.07.12 18000
57 [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture qsms 2021.05.28 18002
56 [SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami? qsms 2023.06.26 18008
55 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 18035
54 [QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors qsms 2023.05.04 18044
53 [QSMS 기하/위상 세미나 2021.09.06] The mirror P=W conjecture from homological mirror symmetry of Fano manifolds qsms 2021.09.03 18067
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