?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
Extra Form
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
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 13291
150 [QSMS Seminar 2024-06-05] Curves, line bundles and Fourier transform qsms 2024.06.02 185
149 [QSMS Monthly Seminar 2024-05-24] Cuspidal subgroups and rational torsion subgroups / Free subgroups generated by Dehn twists and its categorification qsms 2024.05.24 164
148 [QSMS Symplectic topology seminar-20240514] Computing Fukaya categories: Techniques and Examples qsms 2024.05.10 199
147 [QSMS Symplectic topology seminar-20240507]  Introduction to triangulated persistence categories qsms 2024.05.10 207
146 [QSMS Monthly Seminar 2024-04-12] Local systems and finite group symmetry in Floer theory / Calabi-Yau structures on Rabinowitz Fukaya categories qsms 2024.04.12 416
145 [QSMS Monthly Seminar 2024-03-22] Lifting problem for universal quadratic forms / Poincare duality in Rabinowitz Floer homology qsms 2024.03.22 2805
144 [SNU Topology seminar 2024-03-20] Topology of singularities of complex hypersurfaces / The monodromy conjecture for simplicial nondegenerate singularities qsms 2024.03.05 3092
143 [QSMS Representation theory seminar 2024-03-29] Quantum Grothendieck rings of Hernandez-Leclerc Categories qsms 2024.03.05 3186
142 [QSMS Representation theory seminar 2024-01-31] Kostant’s problem for Whittaker modules over Lie superalgebras qsms 2024.01.18 3234
141 [QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~) qsms 2023.12.27 3374
140 [QSMS Representation theory seminar 2023-12-28] Generalized polynomial functors qsms 2023.12.15 3559
139 [QSMS Monthly Seminar 2023-12-14] Simple singularity and their friends qsms 2023.12.14 3274
» [QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians qsms 2023.11.27 3769
137 [QSMS Monthly Seminar 2023-11-11] Cluster structures on polygon spaces / From classical to quantum integrability qsms 2023.11.10 3757
136 [QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds qsms 2023.10.24 3823
135 [QSMS Monthly Seminar 2023-10-13] Quantum Grothendieck rings of Hernandez-Leclerc categories / Regular Schur labeled skew shape posets and their 0-Hecke modules qsms 2023.10.13 3499
134 [KMS Specical Conference with 2022 Fields Medalists] Related talks qsms 2023.10.11 3772
133 [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
132 [QSMS Representation theory seminar - 2023-10-17] A Data-Scientific Approach to Representation Theory: Case Study of Kronecker Coefficients qsms 2023.09.27 3603
131 [QSMS Monthly Seminar] Quiver Hecke algebras and open Richardson varieties qsms 2023.09.22 3538
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8