Donaldson-Thomas Theory Courses and Certifications

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

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

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

Refined Donaldson-Thomas Invariants and Milnor Fibres

Explore quadratic A^1-versions of Donaldson-Thomas invariants and their connections to Milnor fibres, Euler characteristics, and Behrend functions in singularity theory.

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

M-Seminar, Kansas State University

BPS Cohomology and Quasi-BPS Categories - Lecture 1 of 4

Explore BPS cohomology and quasi-BPS categories for symmetric stacks, focusing on quivers with potential and Higgs bundles on curves through advanced algebraic geometry.

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

M-Seminar, Kansas State University

BPS Cohomology and Quasi-BPS Categories - Lecture 4 of 4

Explore advanced BPS cohomology and quasi-BPS categories for symmetric stacks, focusing on quivers with potential and Higgs bundles on curves in algebraic geometry.

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

M-Seminar, Kansas State University

BPS Cohomology and Quasi-BPS Categories - Lecture 3 of 4

Explore advanced algebraic geometry through BPS cohomology and quasi-BPS categories, focusing on symmetric stacks, quivers with potential, and Higgs bundles on curves.

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

M-Seminar, Kansas State University

BPS Cohomology and Quasi-BPS Categories - Lecture 2 of 4

Explore BPS cohomology and quasi-BPS categories for symmetric stacks, focusing on quivers with potential and Higgs bundles, including Hall products and semiorthogonal decompositions.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

BIMSA

Modularity of Donaldson-Thomas Invariants on Compact Calabi-Yau Threefolds

Explore Donaldson-Thomas invariants, their connection to BPS indices, and modular behavior in string theory. Gain insights into computational methods and applications to Gopakumar-Vafa invariants and topological string amplitudes.

• YouTube
• 1 hour 5 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

ICTP Mathematics

Moduli Spaces, Mirror Symmetry, and Enumerative Geometry

Explore advanced algebraic geometry through moduli spaces, mirror symmetry, and enumerative geometry with leading experts from top institutions worldwide.

• YouTube
• 1 day 9 hours 46 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Workshop on Quantum Geometry

Explore advanced quantum geometry through expert lectures on Gromov-Witten theory, Donaldson-Thomas invariants, integrable systems, and spectral curve quantization from leading researchers.

• YouTube
• 14 hours 45 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Enumerative Geometry, Physics and Representation Theory - 2021 Summer School

Explore advanced enumerative geometry through expert lectures on curve counting, gauge theory, and representation theory connections with mathematical physics applications.

• YouTube
• 1 day 20 hours 30 minutes
• Self-Paced
• Free Video