Superabundance and Unobstructedness in Lagrangian Torus Fibrations - Lecture
Explore the concept of Lagrangian realization in tropical geometry through this M-Seminar talk by Jeff Hicks from the University of Edinburgh. Delve into the relationship between tropical curves in the base of a Lagrangian torus fibration and their corre…
The Completion of the Space of Lagrangian Submanifolds for the Spectral Metric
Explore the spectral metric on Lagrangian spaces, its completion, and connections to symplectic topology and sheaf theory through quantization.
The Humilière Completion and Its Applications in Symplectic Geometry
Explore the Humilière completion of Lagrangian spaces, its spectral distance study, and applications in conformal dynamics, singular Hamiltonian systems, and sheaf theory.
Introduction to Fukaya Categories - James Pascaleff
Explore symplectic geometry fundamentals for Fukaya categories, covering symplectic manifolds, Lagrangian submanifolds, exactness conditions, and more in this comprehensive lecture.
Basic Remarks on Lagrangian Submanifolds of Hyper-Kähler Manifolds
Explore properties of Lagrangian subvarieties in hyper-Kähler manifolds, focusing on their interaction with Lagrangian fibrations and albanese dimension of Lagrangian surfaces.
Open-Relative Correspondence and Topological Recursion
Explore the connection between open Gromov-Witten invariants and relative Gromov-Witten invariants in symplectic geometry, and their relation to topological recursion.
Introduction to Fukaya Categories - James Pascaleff
Explore examples of Fukaya categories, focusing on surfaces and potentially other cases, building upon previous lectures on symplectic geometry and Floer cohomology.
Introduction to Fukaya Categories - James Pascaleff
Explore Floer cohomology and Fukaya category fundamentals, including Lagrangian intersection theory, Floer differential, A∞ operations, and Gromov compactification in symplectic geometry.
Remarks on Lagrangian Submanifolds of Hyper-Kaehler Manifolds
Explore properties of Lagrangian subvarieties in hyper-Kaehler manifolds, focusing on interactions with Lagrangian fibrations and albanese dimension of Lagrangian surfaces.
Functorial Construction of Lagrangian Floer Theory and Its Possible Applications
Explore functorial construction of Lagrangian Floer theory and its potential applications in symplectic geometry with renowned mathematician Kenji Fukaya from Stony Brook University.
Skein Valued Open Gromov-Witten Invariants and Cluster Mutations
Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.
Counting Holomorphic Disks with Boundary on the Chiang Lagrangian
Explore open Gromov-Witten invariants and holomorphic disks on the Chiang Lagrangian, examining periodic behaviors and arithmetic structures in open WDVV equations.
Arclike Lagrangians in Liouville Sectors
Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.
Invariance of Floer Cohomology Under Higher Mutation
Explore higher mutations in monotone toric fibers and their impact on Floer cohomology. Delve into locally mutable Lagrangians and neck-stretching techniques to understand invariance under local system changes.
Open/Closed Correspondence and Mirror Symmetry in Gromov-Witten Theory
Explore open/closed correspondence in Gromov-Witten theory, examining numerical invariants, generating functions, and compatibility with mirror symmetry in toric Calabi-Yau manifolds.
Tropical Fukaya Algebras
Explore multiple cut operations on symplectic manifolds and their impact on curve count-based invariants, focusing on Fukaya algebras and tropical graph representations.
Chain Level String Bracket and Punctured Holomorphic Discs
Explore Audin's conjecture and its generalization to Liouville manifolds. Discover connections between holomorphic discs and string topology operations, focusing on chain level string brackets.
Skein Valued Counts of Open Curves in Calabi-Yau Threefolds
Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.
Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics
Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure
Explore advanced concepts in locally conformally symplectic geometry, examining Lagrangian topology, Hamiltonian dynamics, and connections to contact geometry through theoretical frameworks and practical examples.
Deformations of Lagrangian NQ Submanifolds
Dive into advanced mathematical concepts exploring deformations of Lagrangian NQ submanifolds and their theoretical implications in mathematical physics.