Algebraic Geometry Courses and Certifications

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 7

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part VI

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.

• YouTube
• 1 hour 38 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 5

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 57 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 4

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 3

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part II

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

IMSA

Motivic Integration for Non-Archimedean Analytic Spaces - I

Explore motivic integration for rigid varieties over complete discrete valued fields, with potential applications to Berkovich spaces and logarithmic geometry.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part I

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

IMSA

Schön Varieties and Decomposition of Semi-Algebraic Set

Explore tropicalization, Schön varieties, and decomposition of semi-algebraic sets. Learn about initial degenerations, motivic volumes, and tropical fans in algebraic geometry.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

IMSA

Motivic Integration & Stringy Chern Classes

Explore motivic integration basics and learn how stringy Chern classes apply to singular varieties in this advanced mathematics lecture by Ernesto Lupercio.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

IMSA

Discriminants and Toric Birational Geometry

Explore Gorenstein toric singularities, B-side categories in toric homological mirror symmetry, and GKZ hypergeometric D-modules. Discover the conjectural construction of associated spherical functors.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

IMSA

Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants

Explore non-archimedean geometry's role in Gromov-Witten invariants, focusing on derived approaches, K-theory, and motivic cohomology. Learn about geometric relations and their implications for numerical invariants.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

IMSA

Global Shifted Potentials for Moduli Stack of Sheaves over Calabi-Yau 4 Folds

Explores construction of globally defined shifted potential functionals on moduli stacks of stable sheaves on Calabi-Yau 4-folds, discussing DG Quot schemes, Lagrangian distributions, and applications to derived algebraic geometry.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

IMSA

A Splitting Formula for Punctured Gromov-Witten Invariants

Explore punctured Gromov-Witten theory and its role in mirror symmetry. Learn about a new formula for reconstructing invariants, generalizing Jun Li's degeneration formula.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

IMSA

Lagrangian Intersections in Phase Tropical Hypersurfaces

Explore phase tropical hypersurfaces, their relation to complex hypersurfaces, and combinatorial analogs of Lagrangian spheres and thimbles. Discuss connections to mirror matrix factorization categories.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video