Mirror Symmetry Courses and Certifications

IMSA

Homological Mirror Symmetry - Mohammed Abouzaid - Floer Homotopy Theory Pt. II

Explore recent advancements in Floer generalized homology groups, their applications, and ongoing research on curvature in this context with Mohammed Abouzaid.

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

IMSA

Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces

Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.

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

IMSA

Functions on Commuting Stacks via Mirror Symmetry

Explores complex reductive groups, commuting stacks, and G-local systems on tori. Utilizes mirror symmetry and Betti geometric Langlands to calculate global functions on commuting stacks.

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

IMSA

Mirror Symmetry and Cluster Varieties

Explore symplectic geometry of cluster varieties and their applications to mirror symmetry, including homological mirror symmetry for Gross-Hacking-Keel cluster varieties.

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

Kyoto-U OCW - Unofficial

Moduli of Calabi-Yau Manifolds and Mirror Symmetry

Delve into advanced mathematical concepts exploring Calabi-Yau manifolds and mirror symmetry theory through expert insights from Kyoto University's mathematics department.

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

Institute for Advanced Study

Mirror Symmetry for the Grassmannian and Its Schubert Varieties

Delve into advanced mirror symmetry concepts for Grassmannian Schubert varieties, exploring superpotential theory, toric degenerations, and quantum cohomology applications in algebraic geometry.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

IMSA

Geometry of Mirror Symmetry for Non-Fano Log Calabi-Yau Pairs

Delve into advanced geometric concepts of mirror symmetry, exploring log Calabi-Yau pairs, SYZ fibrations, and wall-crossing phenomena through Hirzebruch surfaces and 4-dimensional examples.

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

BIMSA

4D Mirror Symmetry

Explore advanced mathematical concepts in 4-dimensional mirror symmetry through expert analysis and theoretical frameworks in this specialized mathematical lecture.

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

BIMSA

Topological 5D N=2 Gauge Theories - Mirror Symmetry and Langlands Duality of A-infinity Categories of Floer Homologies

Explore advanced connections between 5-dimensional supersymmetric gauge theories, mirror symmetry, and Langlands duality through A-infinity categories of Floer homologies.

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

IMSA

Introductory Lectures on Singularities and Mirror Symmetry - Part 2

Explore advanced mathematical concepts in mirror symmetry, including disk potential, Jacobian rings, matrix factorization, and quantum cohomology through theoretical frameworks.

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

IMSA

Introductory Lectures on Singularities and Mirror Symmetry - Part 1

Explore fundamental concepts of mirror symmetry in singularities, covering invertible polynomials, matrix factorizations, and their applications in topological and homological contexts.

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

IMSA

From Toric Degenerations to Intrinsic Mirror Symmetry - Part 2

Delve into advanced mirror symmetry concepts, exploring toric degenerations, SYZ dual torus fibrations, and Gromov-Witten theory in Calabi-Yau geometries through an algebraic-geometric lens.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Harvard CMSA

Mirror Symmetry of Abelian Fibered Calabi-Yau Manifolds with ρ = 2

Delve into mirror symmetry theory through analysis of Calabi-Yau manifolds with abelian surface fibrations, exploring modular forms and Gromov-Witten invariants in algebraic geometry.

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

Harvard CMSA

Reflections on Mirror Symmetry

Explore the origins, discovery, and applications of mirror symmetry in mathematics through insights from a leading Harvard physicist's reflective analysis and historical perspective.

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

IMSA

From Toric Degenerations to Intrinsic Mirror Symmetry - Part 1

Delve into advanced mirror symmetry concepts, exploring toric degenerations, SYZ dual torus fibrations, and Gromov-Witten theory in Calabi-Yau geometries through an algebraic-geometric lens.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video