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
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 33959
92 [Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level qsms 2021.05.04 16221
91 [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture qsms 2021.05.28 16220
90 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 16204
89 [QSMS Monthly Seminiar] Symplectic homology and the McKay correspondence qsms 2021.01.11 16194
88 [Seminar 2020.12.10] Zeta함수와 L함수에 대한 역사적 고찰III qsms 2020.12.08 16184
87 [QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds qsms 2023.10.24 16166
86 [Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring qsms 2021.04.09 16162
85 [Seminar 2021.05.11] Knotted embeddings qsms 2021.05.06 16147
84 [QSMS Monthly Seminar] A survey on symplectic fillings and Milnor fibers of a normal complex surface singularity qsms 2021.03.26 16134
83 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 16132
82 [Seminar 2021.02.25] Zeta함수와 L함수에 대한 역사적 고찰IX qsms 2021.02.22 16119
81 [QSMS Seminar 2021.09.30] Schur-Weyl duality, old and new & Quantum symmetric pairs and Schur-type dualities qsms 2021.09.10 16067
80 [Seminar 2021.01.21] Zeta함수와 L함수에 대한 역사적 고찰VIII qsms 2021.01.18 16058
79 [Seminar 2020.12.23] Zeta함수와 L함수에 대한 역사적 고찰V qsms 2020.12.21 16035
78 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 16023
77 [QSMS Monthly Seminar] Symmetric functions and super duality qsms 2021.05.28 16020
76 [Seminar 2021.06.11] The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma qsms 2021.05.28 15987
75 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 15980
74 [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds qsms 2022.08.04 15978
73 [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 15977
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