qsms.math.snu.ac.kr - [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories

Extra Form
일정시작	2022-09-30
일정종료	2022-09-30
배경색상	#7164D0

일정시작

2022-09-30

일정종료

2022-09-30

배경색상

#7164D0

Date : 2022-09-30 (Fri) 10:00 ~ 18:00
Place : 129-309 (SNU)
Speaker : 김경모 (SNU)
TiTle : Introduction to Floer Homotopy: Bordism and Flow Categories

Abstract :

Floer homotopy theory is a major theme, leading research in symplectic geometry and low-dimensional topology for the last 20 years. The highlights of this research programme has been Manolescu's disproof of the triangulation conjecture using Pin(2)-equivariant Seiberg-Witten Floer theory, and Abouzaid-Blumberg's proof of the Arnold conjecture for characteristic p. We intend to give an introduction to the latter: as the first step, we introduce bordisms of flow categories, defined by Cohen-Jones-Segal and heavily reformulated by Abouzaid-Blumberg.
(Lunch: 12:30 - 14:00, Break: 15:30 - 15:40)

List of Articles
No.	Subject	Author	Date	Views
Notice	QSMS Mailing List Registration	qsms	2021.09.09	110168
100	[QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors	qsms	2023.05.04	51704
99	[QSMS Seminar 2023-10-06, 11-03] Algebraic group analogues of the Slodowy slices and the structure of the set of conjugacy classes in algebraic groups / Poisson q-W-algebras	qsms	2023.09.11	55264
98	[QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians	qsms	2023.11.27	54147
97	[QSMS Seminar 2024-06-05] Curves, line bundles and Fourier transform	qsms	2024.06.02	46643
96	[QSMS Seminar-20250526] Learning Euler Factors of Elliptic Curves with Transformers	qsms	2025.05.20	8183
95	[QSMS Seminar-20250610, 20250611, 20250612] Non-degeneracy for Kac-Moody and Heisenberg categorifications	qsms	2025.05.22	8494
94	[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	51972
93	[QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds	qsms	2023.10.24	51667
92	[QSMS Symplectic geometry seminar-20240805] Donaldson divisors and spectral invariants	qsms	2024.08.03	31792
91	[QSMS Symplectic geometry seminar-20240812] Quantitative Floer theory and coefficients	qsms	2024.08.03	31708
90	[QSMS Symplectic geometry seminar-20240812] Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings	qsms	2024.08.10	31726
89	[QSMS Symplectic geometry seminar-20240822] Outer symplectic billiard	qsms	2024.08.22	32173
88	[QSMS Symplectic geometry seminar-20241105] 3d mirror symmetry I, II	qsms2	2024.10.29	31558
87	[QSMS Symplectic Learning Seminar-2025-06-02] Topological Fukaya categories of orbifold surfaces and a new class of algebras	qsms	2025.05.27	8090
86	[QSMS Symplectic Learning Seminar-2025-0610] Simple homotopy theory for Fukaya categories	qsms	2025.05.27	8110
85	[QSMS Symplectic topology seminar 20230811, 0817] Spectral numbers in Tate Rabinowitz Floer Homology	qsms	2023.08.04	54075
84	[QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy	qsms	2023.08.14	54253
83	[QSMS Symplectic topology seminar 2024-07-03] Localized mirror functor and Nakajima quiver varieties	qsms	2024.07.02	47327
82	[QSMS Symplectic topology seminar-20230828] From Babylonian lunar observations to global surfaces of section	qsms	2023.08.21	54481
81	[QSMS Symplectic topology seminar-20240507] Introduction to triangulated persistence categories	qsms	2024.05.10	45236

Author

Notice

QSMS Mailing List Registration