Calabi-Yau Manifold Courses and Certifications

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

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

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

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

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

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

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

Galileo Galilei Institute

Modularity and Resurgence in Calabi-Yau Compactifications

Explore modularity and resurgence in Calabi-Yau compactifications, delving into advanced concepts in theoretical physics and mathematics.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Bootstrapping F-Theory

Explore F-theory bootstrapping techniques and their applications in theoretical physics, delving into advanced concepts and recent developments in string theory.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Calabi-Yaus and Curves in Feynman Integrals

Explore the intricate connection between Calabi-Yau manifolds and Feynman integrals in particle physics, unraveling complex mathematical structures in quantum field theory.

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

Galileo Galilei Institute

Introduction to BPS Spectra and Quantum Invariants - Lecture 2

Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Introduction to BPS Spectra and Quantum Invariants - Lecture 3

Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.

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

Galileo Galilei Institute

Introduction to BPS Spectra and Quantum Invariants - Lecture 1

Explore BPS spectra and quantum invariants in theoretical physics, focusing on fundamental concepts and their applications in modern research.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Balanced Metrics and the Hull-Strominger System

Explore balanced metrics and the Hull-Strominger system in complex geometry, examining their connections and applications in mathematical physics.

• YouTube
• 1 hour 3 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