Extra Form
일정시작 2023-10-17
일정종료 2023-10-18
배경색상 #229954
반복주기 1
반복단위 1.일(단위)
  • Date:   2023-10-17 (Tue) 16:00 ~ 17:00  

                       2023-10-18 (Wed) 16:00 ~ 17:00  

  • Place:  129-406 (SNU)   
  • Speaker:  Jun Zhang (Institute of Geometry and Physics, University of Science and Technology of China)
  • TiTle & Abstract:

New approaches to discovering symplectic non-convexity  (Oct. 17th)

In this talk, we will provide new examples of star-shaped (toric) domains in \C^2 that are dynamically convex but not symplectically convex. Our examples are based on two approaches: one is from Chaidez-Edtmair’s criterion via Ruelle invariant and systolic ratio; the other is from the ECH capacities and an analog non-linear version of Banach-Mazur distance in symplectic geometry. In particular, from the second approach, we derive the first family of examples that can be numerically verified (instead of taking a certain limit from the first approach). We will also illustrate that the information given by these two approaches is in general independent of each other. This talk is based on joint work with Dardennes, Gutt, and Ramos.


Banach-Mazur distances in symplectic and contact geometry  (Oct. 18th)

In this talk, we will discuss how the metrical geometric concept, Banach-Mazur distance, naturally fits into the study of large-scale phenomena in symplectic and contact geometry. Here, a large-scale phenomenon means a high-dimensional Euclidean space can be quasi-isometrically embedded into a space of geometric objects which include certain domains in a symplectic or contact manifold, as well as geometric structures for instance contact 1-forms. The dimension of such a Euclidean space is called the rank of a quasi-flat. Successful applications of the Banach-Mazur distance are also based on various algebraic machinery: persistence module theory, shape invariant theory, etc. The main results of this talk are establishing a general principle that almost all the spaces of geometric objects in symplectic and contact geometry admit high-rank quasi-flats. This principle can be used to distinguish geometric objects in a quantitative way. This talk is based on joint works with Vukasin Stojisavljevic and Daniel Rosen, respectively. 




List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 35802
152 [QSMS Symplectic topology seminar 2024-07-03] Localized mirror functor and Nakajima quiver varieties qsms 2024.07.02 14354
151 [QSMS Representation theory seminar-20240716] Highest weight categories and quasi-hereditary algebras qsms 2024.07.02 14433
150 [QSMS Seminar 2024-06-05] Curves, line bundles and Fourier transform qsms 2024.06.02 13964
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 13885
148 [QSMS Symplectic topology seminar-20240514] Computing Fukaya categories: Techniques and Examples qsms 2024.05.10 13727
147 [QSMS Symplectic topology seminar-20240507]  Introduction to triangulated persistence categories qsms 2024.05.10 14072
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 13286
145 [QSMS Monthly Seminar 2024-03-22] Lifting problem for universal quadratic forms / Poincare duality in Rabinowitz Floer homology qsms 2024.03.22 13195
144 [SNU Topology seminar 2024-03-20] Topology of singularities of complex hypersurfaces / The monodromy conjecture for simplicial nondegenerate singularities qsms 2024.03.05 12903
143 [QSMS Representation theory seminar 2024-03-29] Quantum Grothendieck rings of Hernandez-Leclerc Categories qsms 2024.03.05 14031
142 [QSMS Representation theory seminar 2024-01-31] Kostant’s problem for Whittaker modules over Lie superalgebras qsms 2024.01.18 15225
141 [QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~) qsms 2023.12.27 19014
140 [QSMS Representation theory seminar 2023-12-28] Generalized polynomial functors qsms 2023.12.15 19083
139 [QSMS Monthly Seminar 2023-12-14] Simple singularity and their friends qsms 2023.12.14 14294
138 [QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians qsms 2023.11.27 18416
137 [QSMS Monthly Seminar 2023-11-11] Cluster structures on polygon spaces / From classical to quantum integrability qsms 2023.11.10 17487
136 [QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds qsms 2023.10.24 17752
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 17413
134 [KMS Specical Conference with 2022 Fields Medalists] Related talks qsms 2023.10.11 18305
» [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 17426
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