Weinstein Manifolds Through Skeletal Topology - Laura Starkston
Explore skeletal topology's role in understanding Weinstein manifolds, focusing on arboreal singularities, Fukaya categories, and stratification of skeletons in symplectic geometry.
Mirrors of Curves and Their Fukaya Categories - Denis Auroux
Explore symplectic geometry with Denis Auroux as he delves into mirrors of curves and their Fukaya categories, covering topics from monomial examples to Lagrangian admissibility.
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.
Holomorphic Floer Theory, Quantum Wave Functions and Resurgence
Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.
Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces
Explore homological mirror symmetry for non-Kähler elliptic surfaces, including logarithmic transformations and potential applications to singular curves and mirror operations.
Mirrors of Curves and Their Fukaya Categories II
Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpléctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.
Mirrors of Curves and Their Fukaya Categories I
Explores homological mirror symmetry for curves, focusing on symplectic geometry of mirrors and comparing coherent sheaves to Fukaya categories. Discusses Landau-Ginzburg models and fiberwise wrapped Fukaya categories.
Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces
Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.
Homological Mirror Symmetry - Yan Soibelman
Explore holomorphic Floer theory, wall-crossing structures, and their connections to Chern-Simons theory. Discover the interplay between complex symplectic geometry and quantum field theory in this advanced mathematics lecture.
On the Fukaya Categories
Explore Fukaya categories in symplectic geometry with Mohammed Abouzaid from Columbia University, delving into advanced mathematical concepts and their applications.
Structural Aspects of Fukaya Categories of LG Models
Explore Fukaya categories of Landau-Ginzburg models, monodromy, and related functors in this expository talk, covering work by Abouzaid-Seidel, Hanlon, Sylvan, Jeffs, and others.
From Hall Algebras to Legendrian Skein Algebras
Explore the connection between Hall algebras and skein algebras, delving into legendrian knot theory and Fukaya categories of surfaces. Gain insights into cutting-edge mathematical research.
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.
Equivariant Lagrangian Correspondences and Applications
Explore equivariant Lagrangian correspondences and their applications in mathematics, focusing on advanced concepts and theoretical frameworks.
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.
Open Gromov-Witten Invariants from the Fukaya Category
Explore recent progress in deriving Gromov-Witten invariants from the Fukaya category, focusing on cyclic open-closed maps, R-matrices, and potential extensions to open invariants.
Categorical Aspects of the Fueter Equation in 3D Topological Quantum Field Theory
Explore categorical aspects of the Fueter equation, examining its role in topological quantum field theory and connections to complex geometry and mirror symmetry.
Holomorphic Floer Theory and Exponential Integrals
Explore Holomorphic Floer Theory's applications to exponential integrals, wall-crossing formulas, and complex symplectic manifolds. Gain insights into Riemann-Hilbert correspondence and non-abelian Hodge theory.
Equivariant Fukaya Categories at the Singular Value
Explore equivariant Fukaya categories, relating wrapped Fukaya categories of symplectic manifolds with Hamiltonian S^1 actions to their Hamiltonian reductions. Discover new conjectures and examples.
Prospects for Spectral Mirror Symmetry
Explore advanced Fukaya categories, spectral ring coefficients, and mirror symmetry in symplectic geometry. Delve into cutting-edge research on generalizing Lagrangian Floer theory.