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#Hyperkähler Manifolds

Showing: 21 courses
ICTP Mathematics

Involutions of a Cubic Fourfold

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Explore involutions of cubic fourfolds, covering hyperkähler manifolds, period domains, and evolution types. Delve into geometry, rationality, and related mathematical concepts.
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13 Lesons
33 minutes
On-Demand
Free-Video
IMSA

Fixed Loci of Anti-Symplectic Involutions

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Explore geometric constructions linking Fano manifolds and hyperkähler manifolds, focusing on reversing the process to recover Fano manifolds from hyperkähler structures.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 1

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Explore the intricacies of hyperkähler manifolds in this advanced algebraic geometry lecture, delving into classical concepts and recent developments in the field.
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1 Lesons
50 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 5

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Explore advanced concepts in algebraic geometry, focusing on hyperkähler manifolds and their properties in this in-depth lecture by Elham Izadi.
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1 Lesons
41 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
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 2

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Explore advanced concepts in algebraic geometry, focusing on hyperkähler manifolds and their properties in this in-depth lecture by Elham Izadi from UCSD.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 1

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Explore the fascinating world of hyperkähler manifolds in this advanced mathematics lecture, delving into complex geometric structures and their properties.
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1 Lesons
52 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds, an Introduction I – Part 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 theoretical physics.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds, an Introduction I

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Explore the fundamental concepts and properties of hyperkähler manifolds in this introductory lecture by Elham Izadi, delving into complex geometry and algebraic topology.
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1 Lesons
36 minutes
On-Demand
Free-Video
ICTP Mathematics

On the Geometry of Hyperkähler Manifolds

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Explore hyperkähler manifolds, their properties, and examples. Delve into deformation types, moduli spaces of stable sheaves, and the birational geometry of K3-type manifolds with symplectic actions.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
IMSA

Twistor Spaces and Compact Manifolds Admitting Kähler and Non-Kähler Structures

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Explore twistor spaces and compact manifolds with dual Kähler and non-Kähler structures. Discover historical examples and new findings in higher dimensions using quaternion twistor spaces of hyperkähler manifolds.
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1 Lesons
32 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Symplectic Transformations of OG10-Type Hyperkähler Manifolds via Cubic Fourfolds

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Explore symplectic birational transformations on OG10-type hyperkähler manifolds, focusing on LSV manifolds derived from cubic fourfolds and their cohomological actions.
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1 Lesons
30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Defect of a Cubic Threefold

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Explore geometric properties of singular cubic threefolds, relating defect to various characteristics. Insights from ongoing research with Lisa Marquand, inspired by Hyperkähler manifold construction.
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1 Lesons
31 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

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

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Explore categorical aspects of the Fueter equation, examining its role in topological quantum field theory and connections to complex geometry and mirror symmetry.
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18 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry

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Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.
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13 Lesons
56 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Towards a Mathematical Theory of 3D Mirror Symmetry

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Explore the mathematical implications of 3D mirror symmetry, connecting quantum field theory dualities to algebraic geometry and symplectic topology. Uncover links to geometric Langlands and symplectic duality.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

Symplectic Singularities Arising from Algebras of Symmetric Tensors

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Explore symplectic singularities from symmetric tensor algebras, their construction, and relation to existing methods in algebraic geometry and representation theory.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Galileo Galilei Institute (GGI)

Mirror Symmetry for Hyperkahler Manifolds

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Explore mirror symmetry in hyperkähler manifolds, delving into complex geometric structures and their dual counterparts in string theory.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video