Landau-Ginzburg Model Courses and Certifications

Homological Mirror Symmetry - Non-Holomorphic Deformations of Landau-Ginzburg

Explore non-holomorphic deformations of Landau-Ginzburg models, examining derived moduli spaces, Frobenius manifold structures, and Gromov-Witten invariants in symplectic geometry.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Homological Mirror Symmetry for Log Calabi-Yau Surfaces

Explore homological mirror symmetry for log Calabi-Yau surfaces, including construction of mirror Landau-Ginzburg models and connections to SYZ fibrations and previous research.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

Homological Mirror Symmetry- Non-Holomorphic Deformations of Landau-Ginzburg Models

Explore non-holomorphic deformations of Landau-Ginzburg models, examining derived moduli spaces, Frobenius manifold structures, and Gromov-Witten invariants in symplectic geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Mirrors of Curves and Their Fukaya Categories II

Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpléctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Mirrors of Curves and Their Fukaya Categories I

Explores homological mirror symmetry for curves, focusing on symplectic geometry of mirrors and comparing coherent sheaves to Fukaya categories. Discusses Landau-Ginzburg models and fiberwise wrapped Fukaya categories.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

Homological Mirror Symmetry for Theta Divisors

Explore complex moduli of theta divisors in abelian varieties and their mirror Landau-Ginzburg models, focusing on global homological mirror symmetry across the entire moduli space.

• YouTube
• 56 minutes
• On-Demand
• Free Online Course

Mixed Hodge Structures Attached to Hybrid Landau–Ginzburg Models

Explores mixed Hodge structures in Landau-Ginzburg models, focusing on functorial behavior and a new spectral sequence relating decomposed functions, with applications in mirror symmetry.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Online Course

On the P=W Conjecture I

Exploration of the P=W conjecture for character varieties, its mirror version in Fano mirror symmetry, and applications to Hodge theory of Landau-Ginzburg models. Discusses recent developments and ongoing research in the field.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Blow Up Formulae and Invariants II - Dimension Theory

Explore numerical invariants in meromorphic connections, their relation to singularity theory, and applications to non-rationality criteria for Fano varieties.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Structural Aspects of Fukaya Categories of LG Models

Explore Fukaya categories of Landau-Ginzburg models, monodromy, and related functors in this expository talk, covering work by Abouzaid-Seidel, Hanlon, Sylvan, Jeffs, and others.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Online Course

Holomorphic Discs of Negative Maslov Index and Extended Deformations in Mirror Symmetry

Explore holomorphic discs of negative Maslov index and their impact on mirror symmetry, focusing on extended deformations of Landau-Ginzburg models and family Floer theory in complex geometry.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Homological Mirror Symmetry for Log Calabi-Yau Surfaces - Ailsa Keating

Explore homological mirror symmetry for log Calabi-Yau surfaces, constructing mirror Landau-Ginzburg models and examining connections to SYZ fibrations and related works in algebraic geometry.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course