Donaldson-Thomas Theory Courses and Certifications

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 1 of 3

Explore hyperbolic localization functors in Donaldson-Thomas theory, connecting Białynicki-Birula decompositions with vanishing cycles on Calabi-Yau threefold moduli spaces.

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

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 3 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, covering vanishing cycles, shifted symplectic geometry, and wall-crossing formulas for Calabi-Yau threefolds.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 2 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, focusing on perverse sheaves and critical loci of functions on Calabi-Yau threefold moduli spaces.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Harvard CMSA

Donaldson-Thomas and Gromov-Witten Theories

Explore advanced mathematical theories connecting Donaldson-Thomas and Gromov-Witten invariants through K3 fibrations, stable pairs, and S-duality conjectures in algebraic geometry.

• YouTube
• 12 hours 37 minutes
• Self-Paced
• Free Video

IMSA

Homological Mirror Symmetry - Categorical Donaldson-Thomas Theory of C^3 and Beyond

Explore advanced concepts in Donaldson-Thomas theory, including categorifications, refinements, and applications to C^3 and beyond, with a focus on categorical invariants and correspondences.

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

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 18

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

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

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 15

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 21 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 14

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 23 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 13

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 17 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 12

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

Donaldson-Thomas and Gromov-Witten Theories - Part XI

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 31 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 10

Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 9

Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 8

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 28 minutes
• Self-Paced
• Free Video

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