Embedded Files
Part 1 : Toric Geometry and Mirror Symmetry - The SYZ Construction and Wall Crossing (21' Dec 15 ~ 22' May 23)
Dec 15 Kyungmin Rho (SNU) - Cannas da Silva Sec 1-2
Jan 3 Beomjun Sohn (SNU) - Cannas da Silva Sec 3
Jan 24 Kyoungmo Kim (SNU) - Cannas da Silva Sec 4-5
Feb 21 Myeongjin Jeong (SNU) - Cannas da Silva Sec 6
Mar 3 Hyeongjun Jin (Yonsei) - Cho, Oh Sec 1-3
Mar 7 Hyeongjun Jin (Yonsei) - Cho, Oh Sec 4-5
Mar 14 Wonjun Lee (SNU) - Cho, Oh Sec 6
Mar 21 Kyoungmo Kim (SNU) - Cho, Oh Sec 7-8
Mar 28 Hyeongjun Jin (Yonsei) - Cho, Oh Sec 9-10
Apr 4 Do-Hyung Kim (SNU) - Cho, Oh Sec 11-14
Apr 11 Yonghwan Kim (SNU) - Auroux Sec 1-2
Apr 18 Dongho Lee (SNU) - Auroux Sec 3
Apr 25 Wonjun Lee (SNU) - Auroux Sec 4
May 2 Do-Hyung Kim (SNU) - Auroux Sec 5
May 9 Kyungmin Rho (SNU) - Auroux Sec 6-7
May 16 Kyoungmo Kim (SNU) - Chan, Lau, Leung - Sec 1-3
May 23 Kyungmin Rho (SNU) - Chan, Lau, Leung - Sec 4-5
References
[C] Cannas da Silva - Symplectic Toric Manifolds
[CO] Cho, Oh - Floer Cohomology and Disc Instantons of Lagrangian Torus Fibers in Toric Fano Manifolds
[A] Auroux - Mirror Symmetry and T-Duality in the Complement of an Anticanonical Divisor
[CLL] Chan, Lau, Leung - SYZ Mirror Symmetry for Toric Calabi-Yau Manifolds
Part 2 : Lefschetz Fibrations in Symplectic Geometry (22' May 23 ~ 22' Aug 22)
May 30 Kyoungmo Kim (SNU) - Introduction to the Localized Mirror Functor (Notes)
Hyeongjun Jin (Yonsei) - Introduction to the Matrix Factorization Category (Notes)
June 13 Do-Hyung Kim (SNU) - Introduction to Symplectic Cohomology
Beomjun Sohn (SNU) - McLean 2.4, 5, 6 (Notes)
June 20 Hyeonbin Kim (Yonsei) - Wall-Crossing Phenomena and SYZ Mirror Symmetry (Notes)
Hyeongjun Jin (Yonsei) - McLean 3
June 27 Yonghwan Kim (SNU) - Theta Functions and Mirror Symmetry (Notes)
Wonjun Lee (SNU) - McLean 7, 8
July 11 Pablo Portilla Cuadrado (Lille) - Survival Kit for Plane Curve Singularities (Notes)
Yonghwan Kim (SNU) - McLean 4, Lefschetz Bifibrations and Matching Cycles (Notes)
July 18 Pablo Portilla Cuadrado (Lille) - Geometric Monodromy Group of an Isolated Plane Curve Singularity (Notes)
Myeongjin Jeong (SNU) - Introduction to Topological Quantum Field Theory (Notes)
July 25 Kyoungmo Kim (SNU) - Introduction to Spectra (Notes)
Joonghyun Bae (SNU) - Seidel Long Exact Sequence 1. 1 (Notes)
August 1 Kyoungmo Kim (SNU) - More on Spectra (Notes)
Do-Hyung Kim (SNU) - Seidel Long Exact Sequence 1. 2 (Notes)
August 8 Myeongjin Jeong (SNU) - More on Topological Quantum Field Theory (Notes)
Yonghwan Kim (SNU) - Seidel Long Exact Sequence 2.1, 2.2, 2.3 (Notes)
August 22 Kyungmin Rho (SNU) - Representation theory of Cohen-Macaulay modules (Notes)
Yonghwan Kim (SNU) - Seidel Long Exact Sequence 2.4, 2.5, 3 (Notes)
Part 3 : Various Research Topics in Symplectic Geometry (22' Aug 23 ~ 23' Jul 28)
August 29 Yonghwan Kim (SNU) - Symplectic Cohomology, String Topology, and Deformations (Notes)
Beomjun Sohn (SNU) - Introduction to Hofer-Zehnder Capacity (Notes)
September 16 Kyoungmo Kim (SNU) - Introduction to Bordism: Towards Floer Homotopy Theory (Notes)
Hyeongjun Jin (Yonsei) - Punctured Spheres: Weinstein Structure, Symplectic Cohomology, and Kodaira- Spencer Map 1 (Notes)
September 30 Kyoungmo Kim (SNU) - Steenrod Operations and Complex Cobordism (Notes)
Yonghwan Kim (SNU) - Introduction to Floer Homotopy 1 - Flow Categories and Flow Modules (Notes)
October 7 Hyeongjun Jin (Yonsei) - Punctured Spheres: Weinstein Structure, Symplectic Cohomology, and Kodaira- Spencer Map 2 (Notes)
Hyeonbin Kim (Yonsei) - Closed String Mirror of Log Calabi-Yau Surfaces (Notes)
October 21 Kyungmin Rho (SNU) - Representations of Gentle Algebras and Partially Wrapped Fukaya Categories (Notes)
Beomjun Sohn (SNU) - Geodesic Flow and Symplectic Geometry (Notes)
November 4 Yonghwan Kim (SNU) - Introduction to Floer Homotopy 2 - Kuranishi Structures (Notes)
Myeongjin Jeong (SNU) - Noncommutative Geometry: an Introduction (Notes)
November 18 Jae Hee Lee (MIT) - Equivariant Operations in Morse Theory and Floer Theory (Notes)
Hyeongjun Jin (Yonsei) - Punctured Spheres: Weinstein Structure, Symplectic Cohomology, and Kodaira- Spencer Map 3
December 9 Yonghwan Kim (SNU) - Introduction to Floer Homotopy 3 - Formal Groups and Complex Cobordism (Notes)
Wonjun Lee (SNU) - Capacities in Symplectic Geometry 1 (Notes)
December 23 Kyungmin Rho (SNU) - Morita Theory for Derived Categories (Notes)
Wonjun Lee (SNU) - Capacities in Symplectic Geometry 2 (Notes)
January 6 Beomjun Sohn (SNU) - C^0-aspects of Symplectic Geometry (Notes)
Kyoungmo Kim (SNU) - On the Derived Category of Gentle Algebras (Notes)
January 27 Kyungmin Rho (SNU) - Geometric Models for Graded Skew-Gentle Algebras (Notes)
Myeongjin Jeong (SNU) - Differential Calculus on Noncommutative Spaces (Notes)
February 17 Dongho Lee (SNU) - Comparison Theorems in Riemannian Geometry and the Sphere Theorem (Notes)
Joonghyun Bae (SNU) - RFH of Complements of Donaldson Hypersurfaces (Notes)
March 10 Kyoungmo Kim (SNU) - DG Algebras and A-infty Algebras (Notes)
Hyeonbin Kim (Yonsei) - Mirror Symmetry for Log Calabi-Yau Surfaces (Notes)
March 24 Dohyeong Kim (SNU) - Legendrian Surgery and Stein Domains 1 (Notes)
Kyungmin Rho (SNU) - HMS for Degenerate Cusp Singularities and their Representations (Notes)
April 7 Dohyeong Kim (SNU) - Legendrian Surgery and Stein Domains 2 (Notes)
Kyoungmo Kim (SNU) - Derived Categories of Quiver Algebras and Flip Functors
April 28 Jinho Jeong (SNU) - PGL(2,Q_p) Orbit Closures on a p-adic Homogeneous Space of Infinite Volume (Notes)
Sungho Kim (SNU) - Computations of Lagrangian Quantum Cohomology (Notes)
May 12 Yonghwan Kim (SNU) - Introduction to Floer Homotopy: Global Kuranishi Charts (Notes)
May 26 Wonjun Lee (SNU) - Product Structures on Relative Symplectic Cohomology (Notes)
Joonghyun Bae (SNU) - Symplectic Homology of Affine Varieties (Notes)
June 9 Sunghae Cho (SNU) - Physical Aspects of the Calegaro System (Notes)
Myeongjin Jeong (SNU) - Introduction to BV Formalism (Notes)
June 30 Kyoungmo Kim (SNU) - Regularity, Singularities, and Matrix Factorizations (Notes)
Beomjun Sohn (SNU) - Generating Functions, Symplectic Geometry, and Applications (Notes)
July 14 Yonghwan Kim (SNU) - Introduction to 3D Mirror Symmetry (Notes)
Hyeongjun Jin (Yonsei) - Orbifolding Lagrangian Floer Cohomology (Notes)
July 28 Yonghwan Kim (SNU) - Nonexistence of Exact K(G,1) Lagrangians in Milnor Fibers of Weighted Homogeneous Polynomials (Notes)
Kyoungmin Rho (SNU) - Associative Yang-Baxter Equation and Fukaya Categories (Notes)
Part 4 : Lectures on Various Topics on Symplectic Geometry for Beginners (23' Aug 18 ~ 24' Aug)
August 23 Kyoungmo Kim (SNU) Aoo representations
Sungho Kim (SNU) The loop homology algebra of spheres
August 09 Hun Namkung (Yonsei) Floer cohomology of the Clifford torus II
Do-Hyung Kim (SNU) Index Computation in Besse Manifold with Vanishing First Chern Class
July 26 Hun Namkung (Yonsei) Floer cohomology of the Clifford torus I
Myungjin Jeong (SNU) Introduction to Aoo category from open string theory
July 5 Wonjun Lee (SNU) Invariance of Rabinowitz Floer Homology
Kyoungmo Kim (SNU) DG and Aoo categories
May 17 Hongkwon Jo (SNU) Introduction to V-shaped Symplectic Homology
Beomjun Sohn (SNU) Distances on Hamiltonian diffeomorphism groups (notes)
May 3 Kyoungmo Kim (SNU) Topological Fukaya Categories
Hun Namkung (Yonsei) Lagrangian Intersection Floer Theory and Pseudo-holomorphic Disks II
April 5 Hun Namkung (Yonsei) Lagrangian Intersection Floer Theory and Pseudo-holomorphic Disks I
Dongho Lee (SNU) Introduction to Hyperbolic Geometry
March 22 Dohyeong Kim (SNU) Robbin-Salamon index computation in Besse contact manifolds
Jinjoo Choi (PNU) Lagrangian fibers of Gelfand-Cetlin systems and an action on them II
February 16 Jinjoo Choi (PNU) Lagrangian fibers of Gelfand-Cetlin systems and an action on them I
Sunghae Cho (SNU) Restricted three-body problem
February 2 Jemin You (SNU) Cohomology of GIT quotients via Symplectic geometry.
Kyoungmo Kim (SNU) Derived categories and Derived functors
January 26 Hayeon Kim (Yonsei) Introduction to Symplectic Blow-up II (Notes)
Beomjun Sohn (SNU) Symplectic Ball Packing in Dimension 4
January 12 Dongho Lee (SNU) Cobordism theory (Notes)
Hun Namkung (Yonsei) Introduction to Symplectic Blow-up I (Notes)
December 22 Beomjun Sohn (SNU) Weinstein manifolds and their topological aspects
Yonghwan Kim (MIT) Symplectic homology of Liouville sectors
December 8 Kyoungmo Kim (SNU) Introduction to Triangulated categories (Notes)
Sunghae Cho (SNU) Coadjoint orbits and Stone-von Neumann theorem (Beamer)
November 17 Dongho Lee (SNU) Global surface of sections (Notes)
Sungho Kim (SNU) Introduction to GW theory I (Notes)
October 13 Kyoungmo Kim (SNU) Fukaya categories of Orbifold surfaces (Notes)
Beomjun Sohn (SNU) Weyl law for Spectral invariants in Symplectic geometry (Notes)
September 22 Hyunbin Kim (Yonsei) Morse superpotentials and Blowups of surfaces (Notes)
Myeongjin Jeong (SNU) Introduction to BV-formalism (Notes)
September 8 Wonjun Lee (SNU) Symplectic capacities and their relations (Notes)
Hong-Kwon Jo (SNU) Symplectic capacities from S1-equivariant Symplectic homology (Notes)
August 18 Junehyuk Kim (SNU) Mirror symmetry on Grassmannian Gr(2,n) (Notes , Beamer)
Jiyeon Ryu (SNU) Plane curve resolution with Toric modification (Notes)
Part 5 : Moduli Space of J-holomorphic Curves and Gromov Compacntess (24' Sep 20 ~ 25' Jan)
(J-holomorphic Curves and Symplectic Topology by Dusa McDuff and Dietmar Salamon)
January 17 Myeongjin Jeong (SNU) Gromov–Witten invariant and correlation function of 2D TQFT
January 3 Kyungmin Rho (SNU) Non-commutative nodal curves and their homological mirror symmetry (Notes)
Hong-Kwon Jo (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 9
December 20 Donghae Lee (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 10
SeungChul Park (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 10
December 6 Dongho Lee (SNU) Calculating CZ-indices on the rotating Kepler problem
Beomjun Sohn (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 5
November 22 Beom-Seok Kim (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 4
Hong-Kwon Jo (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 4
November 1 Hun Namkung (Yonsei) J-holomorphic Curves and Symplectic Topology , Chapter 3
October 4 SeungChul Park (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 2
Beom-Seok Kim (SNU) J-holomorphic Curves and Symplectic Topology , Chapter 2
September 20 Beomjun Sohn (SNU) Introduction to J-holomorphic Curves (Notes)
Part 5.5 : Symplectic geometry of Isolated Hypersurface Singularities (25' Jan ~ 25' Feb)
(Singular Points of Complex Hypersurfaces by John Milnor)
February 26 Beom-Seok Kim (SNU) Exercise Session: Dehn-Seidel Twist
SeungChul Park (SNU) Singular points of complex hypersurfaces, Chapter 8+9
February 4 Donghae Lee (SNU) Singular points of complex hypersurfaces, Chapter 6+7 (Notes)
Jiyeon Ryu (SNU) Singular points of complex hypersurfaces, Chapter 5 (Notes)
January 21 Beom-Seok Kim (SNU) Singular points of complex hypersurfaces, Chapter 4
Beomjun Sohn (SNU) Singular points of complex hypersurfaces, Chapter 1
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