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#K3 Surfaces

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Instituto de Matemática Pura e Aplicada

Isotrivial Lagrangian Fibrations of Compact Hyper-Kähler Manifolds

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Explore a geometria de fibrações lagrangianas isotriviais em variedades hiperkähler compactas, incluindo tricotomia baseada na dimensão de Kodaira e busca por novos tipos de deformação.
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1 Lesons
1 hour
On-Demand
Free-Video
IMSA

A Construction of Apéry Constants from Landau Ginzberg Models

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Explores construction of Apéry constants from Landau-Ginzberg models, linking quantum differential equations of Fano threefolds to mirror symmetry and geometric higher normal functions.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IMSA

Periods, Shafarevich Maps and Applications - Nodal Surfaces and Coding Theory

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Explore nodal surfaces and coding theory in K3 geometry. Learn about period maps, Torelli theorem, and binary codes in relation to polarized nodal K3 surfaces and their components.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Comparing Geometric and Hodge-Theoretic Compactifications I

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Explores compactifications of moduli spaces for abelian varieties and K3 surfaces, comparing geometric and Hodge-theoretic approaches. Discusses recent work on stable K3 surfaces and recognizable divisors.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Comparing Geometric and Hodge-Theoretic Compactifications II

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Explores compactifications of moduli spaces for abelian varieties and K3 surfaces, focusing on geometric interpretations and connections to Hodge theory and polyhedral decompositions.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

On the P=W Conjecture II

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Exploration of the mirror P=W conjecture, its evidence in low dimensions, and potential verification methods using Lagrangian torus fibrations. Discusses work with Katzarkov-Przyjalkowski and Katzarkov-Pantev.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

The Mirror Clemens-Schmid Sequence

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Explore a four-term exact sequence in cohomology, its relation to filtrations, and a proposed mirror to the Clemens-Schmid sequence, with applications in K3 surface settings.
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1 Lesons
58 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
Hausdorff Center for Mathematics

Moduli of Bundles in Low Genus, Coble Hypersurfaces and Degeneracy Loci

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Explore the geometry of moduli spaces for semistable bundles, focusing on Coble hypersurfaces and their connections to Abelian varieties, K3 surfaces, and cubic fourfolds.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Hodge Structures in 8-Dimensional Homotopy Hopf Manifolds

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Explore Hodge structures on 8-dimensional homotopy Hopf manifolds, examining connections between these structures and K3 surfaces, with implications for Homological Mirror Symmetry.
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1 Lesons
56 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
M-Seminar, Kansas State University

Empty Real Plane Sextic Curves

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Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

The Dual Lagrangian Fibrations of Compact Hyper-Kähler Manifolds

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Explore dual Lagrangian fibrations of compact hyper-Kähler manifolds, focusing on construction, duality, and topological mirror symmetry in higher-dimensional generalizations of K3 surfaces.
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1 Lesons
47 minutes
On-Demand
Free-Video
BIMSA

Moduli of Curves and Moduli of Sheaves - Relationships and Correspondences

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Explore relationships between moduli spaces of curves, maps, and sheaves, from GW/DT correspondence to connections with K3 surfaces and abelian varieties moduli.
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1 Lesons
54 minutes
On-Demand
Free-Video
BIMSA

Exotic Calabi-Yau Metric and Holomorphic Fibration

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Explore complete Calabi-Yau metrics, from historical developments to recent constructions on C^3, with insights into collapsing metrics on Calabi-Yau 3-folds.
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1 Lesons
48 minutes
On-Demand
Free-Video
BIMSA

Locally Symmetric Varieties with Moduli Interpretation

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Explore complex algebraic geometry, focusing on realizing moduli spaces as locally symmetric varieties through Hodge theory. Survey existing results and examine Calabi-Yau manifolds with complex hyperbolic ball periods.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Modularity in String Theory and Moonshine - Lecture 3

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Explore advanced concepts in string theory, focusing on modularity and moonshine phenomena, with expert insights from Roberto Volpato in this in-depth lecture.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Modularity in String Theory and Moonshine - Lecture 2

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Explore advanced concepts in string theory, focusing on modularity and its connections to moonshine phenomena in mathematics and theoretical physics.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

The Geometric Disposition of Diophantine Equations

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Explore the fascinating world of Diophantine equations through geometric perspectives, focusing on rational curves, K3 surfaces, and systems of equations in this engaging mathematical lecture.
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21 Lesons
53 minutes
On-Demand
Free-Video
BIMSA

Degeneration, Geometry and Duality in String Theory

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Explore generalised T-dualities in string theory, focusing on type I' and IIA duality, SYZ interpretation of mirror symmetry, and geometric duals of strong-coupling phenomena.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video