Gromov-Witten Theory Courses and Certifications

Centre International de Rencontres Mathématiques

Moduli Spaces in Symplectic Topology and Gauge Theory

Explore advanced symplectic topology and gauge theory through moduli spaces, covering Floer theory, holomorphic curves, and contact homology with leading experts.

• YouTube
• 8 hours 41 minutes
• Self-Paced
• Free Video

Harvard CMSA

Homological Mirror Symmetry and Hodge Theory - January 2018

Explore advanced mathematical concepts in homological mirror symmetry, Hodge theory, and algebraic geometry through expert lectures from leading researchers in the field.

• YouTube
• 20 hours 7 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

Institute for Advanced Study

Integer-Valued Gromov-Witten Type Invariants - Guangbo Xu

Explore integer-valued Gromov-Witten type invariants in symplectic geometry, focusing on genus zero cases for symplectic manifolds. Learn about recent developments and their applications in mathematical research.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Pseudoholomorphic Curves with Boundary - Can You Count Them? Can You Really? - Sara Tukachinsky

Explore pseudoholomorphic curves with boundary, their counting challenges, and innovative approaches in Gromov-Witten theory with Sara Tukachinsky's advanced mathematical seminar.

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

International Centre for Theoretical Sciences

Introduction to Contact Geometry by Dheeraj Kulkarni

Explore contact geometry fundamentals, including Frobenius theorem, contactomorphisms, and Gray stability theorem. Learn about symplectic structures and their relation to contact manifolds.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

BIMSA

The Skein Valued Mirror of the Topological Vertex

Explore advanced mathematical concepts connecting skein theory with topological vertex constructions through mirror symmetry principles in algebraic geometry.

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

BIMSA

Quantization of Landau-Ginzburg Models

Explore the geometry of Landau-Ginzburg models and their role in mirror symmetry, covering quantization theory, topological field theories, and the LG/CY correspondence conjecture.

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

BIMSA

Enumerative Geometry, Statistical Physics, and Quantum Mechanics

Explore connections between enumerative algebraic geometry, Gromov-Witten theory, matrix models, statistical physics paradigms, and quantum mechanics applications.

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

BIMSA

Enumerative Invariants from Calabi-Yau Categories

Explore enumerative invariants from Calabi-Yau categories, connecting homological mirror symmetry to Gromov-Witten invariants and string theory applications.

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

Institute for Advanced Study

Mirror Symmetry for Open Gromov-Witten Invariants of Fano Manifolds

Explore mirror symmetry through matrix factorizations and their correspondence to Lagrangian submanifolds in Fano manifolds using non-Archimedean frameworks.

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

BIMSA

Quantum Critical K-Theory

Explore quantum critical K-theory through advanced mathematical frameworks and their applications in modern theoretical physics research.

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

BIMSA

Quasimap Wall-Crossing - Generalizations and Applications

Explore quasimap wall-crossing phenomena and their mathematical generalizations with practical applications in algebraic geometry and enumerative geometry.

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

BIMSA

Quasimap Wall-Crossing - Generalizations and Applications

Explore advanced mathematical concepts in quasimap wall-crossing theory, examining generalizations and their applications in algebraic geometry and related fields.

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