Donaldson-Thomas Invariants Courses and Certifications

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 17

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 12 minutes
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 16

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
• On-Demand
• Free Video

IMSA

Cohomological Donaldson-Thomas Invariants of 3-Manifolds - Part 2

Explore Morse homology of complex Chern-Simons functional, its connections to supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.

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

Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds

Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Donaldson-Thomas Invariants: Classical, Motivic, Quadratic and Real

Explore advanced Donaldson-Thomas invariants in algebraic geometry, including classical, motivic, quadratic, and real variants. Delve into virtual fundamental classes and refined invariants.

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

Centre International de Rencontres Mathématiques

Categorified Donaldson-Thomas Invariants of Calabi-Yau 3-Folds

Explore categorified Donaldson-Thomas invariants of Calabi-Yau 3-folds in this advanced mathematical lecture by Benjamin Hennion at CIRM's thematic meeting on algebraic geometry.

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

Institut des Hautes Etudes Scientifiques (IHES)

Geometry from Donaldson-Thomas Invariants

Explore geometric structures in stability conditions using DT invariants of CY3 triangulated categories, focusing on hyperkähler structures and complexified Hitchin systems.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence

Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Geometry from Donaldson-Thomas Invariants

Explore Donaldson-Thomas invariants in 3-Calabi-Yau categories to define geometric structures on stability condition spaces, focusing on hyperkähler structures and moduli-theoretic constructions.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video