Donaldson-Thomas Invariants Courses and Certifications

M-Seminar, Kansas State University

Categorification of Donaldson-Thomas Invariants

Explore categorification of Donaldson-Thomas invariants through derived foliations, extending BBDJS construction with a sheaf of 2-periodic dg-categories modeled on matrix factorizations.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

IMSA

Cohomological Donaldson-Thomas Invariants of 3-Manifolds

Explore Morse homology of complex Chern-Simons functional, its connections to 4D supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.

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

Stony Brook Mathematics

Counting Curves in Calabi-Yau Threefolds

Explore enumerative invariants and a universal approach to counting curves in Calabi-Yau threefolds. Discover how cluster formalism aids computations and potentially simplifies conjectural identities between invariants.

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

ICTP Mathematics

Gauge Theories and Differential Invariants - Recent Developments in Mathematics and Physics

Explore advanced gauge theories connecting theoretical physics and mathematics through Donaldson invariants, supersymmetric quantum field theories, and differential geometry applications.

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

IMSA

Homological Mirror Symmetry - DT Invariants & Holomorphic Curves

Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, with applications in enumerative geometry and insights from quantum field theories.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions

Explore the connection between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories, leading to a correspondence between Donaldson-Thomas invariants and rational curve counts in higher dimensions.

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

IMSA

Atiyah Class and Sheaf Counting on Local Calabi-Yau 4 Folds

Explore Donaldson-Thomas invariants of torsion sheaves in Calabi-Yau fourfolds, examining their relation to reduced DT theory and modularity predictions for elliptic K3 surfaces.

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

Banach Center

Quivers, 3D Gauge Theories and Three Manifolds

Explore connections between quivers, 3D gauge theories, and three-manifolds, uncovering relationships and equivalences in theoretical physics and geometry.

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

Banach Center

Quiver Structures of Knot Invariants, Open Strings, and Recursion

Explore quiver structures in knot theory, connecting HOMFLY-PT polynomials to motivic Donaldson-Thomas invariants through string theory and M-brane interactions.

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

Banach Center

Introduction to Quiver BPS Algebras - Part 5

Explore quiver BPS algebras with Wei Li, delving into advanced mathematical concepts and their applications in theoretical physics and algebraic geometry.

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

Banach Center

Introduction to Quiver BPS Algebras - Part 4

Explore quiver BPS algebras with Wei Li, delving into advanced concepts and applications in mathematical physics and representation theory.

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

Banach Center

Introduction to Quiver BPS Algebras - Part 2

Explore advanced concepts of quiver BPS algebras, building on foundational knowledge to deepen understanding of this complex mathematical topic.

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