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

Harvard CMSA

The Global Sections of Chiral de Rham Complexes on Compact Calabi-Yau Manifolds

Delve into complex mathematical concepts of chiral de Rham complexes, exploring their global sections on compact Calabi-Yau manifolds through theoretical frameworks and detailed proofs.

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

BIMSA

Birational Calabi-Yau Manifolds Have the Same Small Quantum Products

Discover how birational Calabi-Yau manifolds share identical small quantum products through advanced geometric analysis and quantum cohomology theory.

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

BIMSA

Birational Transformations, Toric Calabi-Yau 4-folds and 2d (0,2) Quiver Gauge Theories

Explore birational transformations and their connections to toric Calabi-Yau 4-folds and 2d (0,2) quiver gauge theories in this advanced mathematical physics lecture.

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

BIMSA

Collapsing Calabi-Yau Manifolds

Explore the geometric behavior of Calabi-Yau manifolds as they undergo collapsing processes in this advanced mathematical analysis.

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

BIMSA

Exploring Distant Corners of Calabi-Yau Moduli Spaces

Explore advanced mathematical structures in Calabi-Yau geometry and their moduli spaces through cutting-edge research insights.

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

IMSA

Degeneration of Calabi-Yau 3-folds and 3-forms

Explore geometric structures in symplectic 6-manifolds, examining 3-forms and their role in Calabi-Yau 3-fold degenerations and the SYZ conjecture.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Fields Institute

Computing with Calabi-Yau 3-folds

Explore computational methods for Calabi-Yau 3-folds in this mathematical seminar by Cornell University's Michael Stillman at the Fields Institute.

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

IMSA

Lagrangian Fibrations on Calabi-Yau Hypersurfaces II

Explore advanced combinatorics and integral affine structures in Lagrangian torus fibrations on Calabi-Yau toric hypersurfaces with discriminant analysis.

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

IMSA

Lagrangian Fibrations on Calabi-Yau Hypersurfaces I

Explore Lagrangian torus fibrations on Calabi-Yau hypersurfaces using ironing coefficients and convex potentials to break manifolds into local models.

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

CIMPA UCR

Geometría y Aritmética de las Variedades Calabi-Yau y una Relación con la Física de Agujeros Negros

Explore la geometría y aritmética de variedades Calabi-Yau y su fascinante conexión con la física de agujeros negros en teorías de supergravedad.

• YouTube
• 1 hour 18 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

Institut des Hautes Etudes Scientifiques (IHES)

Mathematics on the Crossroad of Centuries

Explore cutting-edge mathematics bridging algebra, geometry, topology, and physics through expert lectures honoring Maxim Kontsevich's groundbreaking contributions.

• YouTube
• 20 hours 55 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