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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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82 [QSMS Representation theory seminar - 2023-10-17] A Data-Scientific Approach to Representation Theory: Case Study of Kronecker Coefficients qsms 2023.09.27 3599
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79 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories qsms 2022.02.15 3631
78 [QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology qsms 2023.07.12 3641
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72 [QSMS Symplectic geometry seminar 2023-10-17, 18] New approaches to discovering symplectic non-convexity / Banach-Mazur distances in symplectic and contact geometry qsms 2023.10.10 3667
71 [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 3670
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