Calabi-Yau Manifold Courses and Certifications

BIMSA

Sheaves on Calabi-Yau 4-folds and Virtual Invariants - An Overview

Explore developments in enumerative geometry on Calabi-Yau 4-folds, including point counting, curve counting, and surface counting, with connections to string theory and physics.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

BIMSA

Metric SYZ Conjecture for Calabi-Yau Manifolds - ICBS 2024

Explore special Lagrangian torus fibrations on Calabi-Yau manifolds, focusing on recent progress and the Fermat family of hypersurfaces.

• YouTube
• 45 minutes
• On-Demand
• Free Video

International Mathematical Union

Floer Cohomology and Birational Geometry

Explore Floer cohomology applications in birational geometry, including McKay correspondence and quantum cohomology of Calabi-Yau manifolds.

• YouTube
• 46 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Machine Learning the Landscape - Lecture 1

Explore machine learning in string theory landscape, covering Calabi-Yau manifolds, cohomology, and string phenomenology. Gain insights into complex geometries and their applications in theoretical physics.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

IMSA

Coassociative Fibrations in G2 Geometry

Explore G2 geometry in 7D spaces, focusing on coassociative submanifolds. Learn about their properties, deformation theory, and constructions forming fibrations with singular fibers in 7-manifolds.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Boundedness of SLC Degenerations of Polarized Log Calabi-Yau Pairs

Explore boundedness of slc degenerations in polarized log Calabi-Yau pairs, focusing on families over smooth curves with ample divisors and relatively trivial log canonical divisors.

• YouTube
• 56 minutes
• On-Demand
• Free Video

World Science Festival

Hidden Dimensions - Exploring Hyperspace

Explore hyperspace and extra dimensions with leading scientists as they discuss the fundamental nature of the universe, from Einstein's theories to modern research on spatial realms beyond our experience.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Conference Talk

IMSA

Complex Calabi-Yau Threefolds with Boundary

Explore complex Calabi-Yau threefolds with boundary, extending Hitchin's local Torelli Theorem. Discover connections to G2 structures and affine differential geometry in this advanced mathematical lecture.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Geometry from Donaldson-Thomas Invariants

Explore geometric structures in stability conditions using DT invariants of CY3 triangulated categories, focusing on hyperkähler structures and complexified Hitchin systems.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Categorified Donaldson-Thomas Invariants of Calabi-Yau 3-Folds

Explore categorified Donaldson-Thomas invariants of Calabi-Yau 3-folds in this advanced mathematical lecture by Benjamin Hennion at CIRM's thematic meeting on algebraic geometry.

• YouTube
• 1 hour
• On-Demand
• Free Video

BIMSA

Locally Symmetric Varieties with Moduli Interpretation

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.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Galileo Galilei Institute (GGI)

Mirror Symmetry for Hyperkahler Manifolds

Explore mirror symmetry in hyperkähler manifolds, delving into complex geometric structures and their dual counterparts in string theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Resurgent Perverse Sheaves and Topological Resurgence Theory

Explore topological counterparts of resurgence theory using perverse sheaves on C as convolution algebras, extending beyond regular holonomic D-modules to infinitely singular cases.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

The Geometry and Arithmetic of Banana Nano-Manifolds

Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

The Closed String Mirror Construction

Explore the closed string mirror construction in symplectic geometry, examining its relation to the SYZ conjecture and potential applications in mirror symmetry.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video