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#Calabi-Yau Threefold

Showing: 19 courses
IMSA

Homological Mirror Symmetry - Categorical Donaldson-Thomas Theory of C^3 and Beyond

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Explore advanced concepts in Donaldson-Thomas theory, including categorifications, refinements, and applications to C^3 and beyond, with a focus on categorical invariants and correspondences.
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14 Lesons
1 hour
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Counting Curves on Calabi-Yau Threefolds

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Explore advanced mathematical concepts in counting curves on Calabi-Yau threefolds, including Grothendieck groups, Gopakumar-Vafa conjecture, and MNOP conjecture implications.
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1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Moments of Families of Elliptic Curves

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Explore new developments in higher moment sums of elliptic curve families, their connections to modular forms, and applications to rigid Calabi-Yau threefolds and intermediate Jacobians.
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1 Lesons
50 minutes
On-Demand
Free-Video
IMSA

Universally Counting Curves in Calabi-Yau Threefolds

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Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.
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1 Lesons
57 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 4

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Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 3

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Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
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1 Lesons
2 hours 8 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 2

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Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 1

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Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and connections to enumerative geometry.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
M-Seminar, Kansas State University

From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence

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Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Universally Counting Curves in Calabi-Yau Threefolds

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Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Universally Counting Curves in Calabi-Yau Threefolds

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Explore a universal enumerative invariant for curves in algebraic varieties, focusing on threefolds with nef anticanonical bundle and its implications for the MNOP conjecture.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Enumerative Geometry Through Sheaves

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Explore enumerative geometry, sheaf counting, and their applications in algebraic geometry. Discover new approaches to generalized Donaldson-Thomas invariants on Calabi-Yau threefolds.
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1 Lesons
1 hour
On-Demand
Free-Video
Stony Brook Mathematics

Counting Curves in Calabi-Yau Threefolds

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Explore enumerative invariants and a universal approach to counting curves in Calabi-Yau threefolds. Discover how cluster formalism aids computations and potentially simplifies conjectural identities between invariants.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

Mock Modularity of Calabi-Yau Threefolds - ICBS 2024

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Explore modular properties of generating functions for Donaldson-Thomas invariants in Calabi-Yau threefolds, their physical origins, and applications in string theory compactifications.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
BIMSA

Modularity of Donaldson-Thomas Invariants on Compact Calabi-Yau Threefolds

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Explore Donaldson-Thomas invariants, their connection to BPS indices, and modular behavior in string theory. Gain insights into computational methods and applications to Gopakumar-Vafa invariants and topological string amplitudes.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
BIMSA

Higher Gromov-Witten Invariants of Calabi-Yau Threefolds

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Explore mixed-spin-p-fields method for Calabi-Yau quintics, its application to BCOV Feynman summation rule, and generalization to hypersurfaces in toric varieties.
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1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

Universally Counting Curves in Calabi-Yau Threefolds - ICBS 2024

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Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and universal curve enumeration invariants.
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1 Lesons
51 minutes
On-Demand
Free-Video
IMSA

On the Spectral Problem of a Three Term Difference Operator

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Explore the spectral problem of quantum mechanical operators in complex Planck's constant scenarios, focusing on toric Calabi-Yau threefolds and their implications.
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12 Lesons
53 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds

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Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video