Главная
Study mode:
on
You
History
Saved
In progress 0 courses
compleat 0 courses
#Art & Design #Adobe #ChatGPT #GitHub

#Fukaya Categories

Showing: 29 courses
Institute for Advanced Study

Weinstein Manifolds Through Skeletal Topology - Laura Starkston

0 rewiews
Explore skeletal topology's role in understanding Weinstein manifolds, focusing on arboreal singularities, Fukaya categories, and stratification of skeletons in symplectic geometry.
Add to list
13 Lesons
59 minutes
On-Demand
Free-Video
Institute for Advanced Study

Mirrors of Curves and Their Fukaya Categories - Denis Auroux

0 rewiews
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.
Add to list
14 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Introduction to Fukaya Categories - James Pascaleff

0 rewiews
Explore symplectic geometry fundamentals for Fukaya categories, covering symplectic manifolds, Lagrangian submanifolds, exactness conditions, and more in this comprehensive lecture.
Add to list
12 Lesons
1 hour 17 minutes
On-Demand
Free-Video
IMSA

Holomorphic Floer Theory, Quantum Wave Functions and Resurgence

0 rewiews
Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.
Add to list
1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces

0 rewiews
Explore homological mirror symmetry for non-Kähler elliptic surfaces, including logarithmic transformations and potential applications to singular curves and mirror operations.
Add to list
1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
IMSA

Mirrors of Curves and Their Fukaya Categories II

0 rewiews
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.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Mirrors of Curves and Their Fukaya Categories I

0 rewiews
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.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces

0 rewiews
Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.
Add to list
1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Yan Soibelman

0 rewiews
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.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

On the Fukaya Categories

0 rewiews
Explore Fukaya categories in symplectic geometry with Mohammed Abouzaid from Columbia University, delving into advanced mathematical concepts and their applications.
Add to list
1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
IMSA

Structural Aspects of Fukaya Categories of LG Models

0 rewiews
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.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

From Hall Algebras to Legendrian Skein Algebras

0 rewiews
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.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

Introduction to Fukaya Categories - James Pascaleff

0 rewiews
Explore examples of Fukaya categories, focusing on surfaces and potentially other cases, building upon previous lectures on symplectic geometry and Floer cohomology.
Add to list
1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Introduction to Fukaya Categories - James Pascaleff

0 rewiews
Explore Floer cohomology and Fukaya category fundamentals, including Lagrangian intersection theory, Floer differential, A∞ operations, and Gromov compactification in symplectic geometry.
Add to list
1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Equivariant Lagrangian Correspondences and Applications

0 rewiews
Explore equivariant Lagrangian correspondences and their applications in mathematics, focusing on advanced concepts and theoretical frameworks.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
M-Seminar, Kansas State University

Arclike Lagrangians in Liouville Sectors

0 rewiews
Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.
Add to list
1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Open Gromov-Witten Invariants from the Fukaya Category

0 rewiews
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.
Add to list
1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Categorical Aspects of the Fueter Equation in 3D Topological Quantum Field Theory

0 rewiews
Explore categorical aspects of the Fueter equation, examining its role in topological quantum field theory and connections to complex geometry and mirror symmetry.
Add to list
18 Lesons
1 hour 30 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Holomorphic Floer Theory and Exponential Integrals

0 rewiews
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.
Add to list
1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Equivariant Fukaya Categories at the Singular Value

0 rewiews
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.
Add to list
14 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Prospects for Spectral Mirror Symmetry

0 rewiews
Explore advanced Fukaya categories, spectral ring coefficients, and mirror symmetry in symplectic geometry. Delve into cutting-edge research on generalizing Lagrangian Floer theory.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

An Update on SYZ Mirror Symmetry and Family Floer Theory

0 rewiews
Explore Strominger-Yau-Zaslow approach to homological mirror symmetry, focusing on Lagrangian torus fibrations and Fukaya-Floer algebra construction for mirror symmetry in complex geometry.
Add to list
1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Holomorphic Floer Theory and Resurgence - Lecture 3

0 rewiews
Explore holomorphic Floer theory and its connection to resurgence, examining the Riemann-Hilbert correspondence and its implications for perturbative expansions in mathematics and physics.
Add to list
1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

0 rewiews
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Add to list
1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

0 rewiews
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Add to list
1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
BIMSA

Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics

0 rewiews
Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
Add to list
1 Lesons
57 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

A Homotopical Description of Deligne-Mumford Compactifications

0 rewiews
Explore homotopical descriptions of Deligne-Mumford compactifications, their relation to GW invariants and Fukaya categories, and implications for symplectic cohomology.
Add to list
1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

The Cyclic Open-Closed Map, U-Connections and R-Matrices

0 rewiews
Explore connections between Gromov-Witten invariants and Fukaya categories, focusing on the cyclic open-closed map, u-connections, and R-matrices. Delve into recent progress and potential extensions beyond semisimple cases.
Add to list
4 Lesons
51 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Functoriality for Fukaya Categories of Very Affine Hypersurfaces

0 rewiews
Explore functoriality in Fukaya categories of very affine hypersurfaces, examining acceleration and restriction functors, gluings of Liouville sectors, and connections to mirror symmetry.
Add to list
4 Lesons
1 hour 3 minutes
On-Demand
Free-Video