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#Kähler Manifolds

Showing: 23 courses
International Mathematical Union

Canonical Kaehler Metrics and Stability of Algebraic Varieties

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Explore canonical Kähler metrics, algebraic variety stability, and the Yau-Tian-Donaldson conjecture in complex geometry. Delve into Kähler manifolds, curvature, and pluripotential theory with recent progress and applications.
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28 Lesons
44 minutes
On-Demand
Free-Video
IMSA

Hyper-Kähler Manifolds - Part 2

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Explore advanced properties of hyper-Kähler manifolds, focusing on 4-dimensional cases and their topological characterization in relation to K3 surfaces and abelian surfaces.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

Filtered Ends and Bochner Hartogs Dichotomy on Complete Kahler Manifolds

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Explore filtered ends and Bochner Hartogs dichotomy on complete Kahler manifolds, examining relationships between generalized ends and first compactly supported cohomology.
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1 Lesons
46 minutes
On-Demand
Free-Video
IMSA

Perverse Sheaves on Varieties with Large Fundamental Group

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Explore perverse sheaves on Kähler manifolds, focusing on a generalization of the Singer-Hopf conjecture and its proof using Shafarevich conjecture ideas. Joint work with Donu Arapura presented.
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1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

Mixed Hodge Structures on Cohomology Jump Ideals

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Explore mixed Hodge structures on cohomology jump ideals in representation varieties, extending Goldman and Millson's work to non-compact Kähler manifolds and variations of mixed Hodge structures.
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1 Lesons
57 minutes
On-Demand
Free-Video
International Mathematical Union

Kähler Manifolds with Curvature Bounded Below

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Explore Kähler manifolds with curvature bounded below, covering Yau's uniformization conjecture, compactification of manifolds, and Gromov-Hausdorff limits in this advanced mathematical survey.
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1 Lesons
42 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 4.1

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Explore advanced concepts in complex geometry, focusing on Hyperkähler manifolds and their properties in this comprehensive mathematical lecture.
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1 Lesons
51 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 4.2

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Explore advanced concepts of Hyperkähler manifolds with expert Elham IZADI, delving into complex geometric structures and their applications in mathematics and physics.
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1 Lesons
42 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 3.2

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Explore advanced concepts of Hyperkähler manifolds, delving into complex geometric structures and their applications in mathematics and theoretical physics.
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1 Lesons
35 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 3.1

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Explore advanced concepts in complex geometry, focusing on Hyperkähler manifolds and their properties in this in-depth mathematical lecture by Elham IZADI.
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1 Lesons
47 minutes
On-Demand
Free-Video
IMSA

Holomorphic Discs of Negative Maslov Index and Extended Deformations in Mirror Symmetry

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Explore holomorphic discs of negative Maslov index and their impact on mirror symmetry, focusing on extended deformations of Landau-Ginzburg models and family Floer theory in complex geometry.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Geometric Quantization of General Kähler Manifolds

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Explore geometric quantization on Kähler manifolds, examining compatible constructions of function quantization, Hilbert space structure, and Kähler structure dependence in symplectic manifolds.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IMSA

Calabi Problem in Generalized Kahler Geometry

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Explores generalized Kahler structures, their connection to Kahler manifolds with holomorphic Poisson structures, and presents an approach to the Calabi problem in this context, with focus on toric complex Poisson varieties.
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1 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Canonical Metrics on Holomorphic Bundles

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Explore canonical metrics on holomorphic bundles with renowned mathematician Shing-Tung Yau, delving into advanced geometric analysis and complex differential geometry.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Geometric Quantization of General Kahler Manifolds

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Explore geometric quantization on Kähler phase spaces, examining function quantization, Hilbert space structure, and Kähler structure dependence. Investigate curvature's impact on quantization.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

On the Automorphisms of Compact Kähler Manifolds

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Explore automorphisms of compact Kähler manifolds with Tien-Cuong Dinh in this advanced mathematics conference talk, delving into complex geometry and dynamical systems.
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1 Lesons
48 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Hodge Theory and Lagrangian Fibrations in Holomorphic Symplectic Manifolds

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Explore Hodge theory and Lagrangian fibrations in holomorphic symplectic manifolds. Delve into conjectures, isomorphisms, and decomposition theorems in this advanced mathematical discourse.
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16 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Duality Between the Pseudoeffective and the Movable Cone on a Projective Manifold

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Explore duality between pseudoeffective and movable cones on projective manifolds, including recent developments and connections to non-Archimedean Calabi-Yau theorem.
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1 Lesons
52 minutes
On-Demand
Free-Video
BIMSA

Kahler-Einstein Metrics on Fano Manifolds - ICBS 2024

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Explore Kahler-Einstein metrics on Fano manifolds, bridging differential and algebraic geometry through singularity formations and recent advancements in the field.
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1 Lesons
51 minutes
On-Demand
Free-Video
BIMSA

Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics

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Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
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1 Lesons
57 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.
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1 Lesons
55 minutes
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Free-Video
Conference GSI

Coherent States and Entropy in Geometric Quantization

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Explore coherent states and entropy in geometric quantization, examining entanglement entropy bounds on Kähler manifolds.
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1 Lesons
15 minutes
On-Demand
Free-Video
BIMSA

Quantization Commutes with Reduction: The Quantum GIT Conjecture - ICBS 2024

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Explore the latest results in quantum reduction, comparing gauged and symplectic-reduced 2D A-models. Delve into quantum cohomologies in monotone cases and intriguing conjectures.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video