Gromov-Witten Invariants Courses and Certifications

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

BIMSA

Higher Gromov-Witten Invariants of Calabi-Yau Threefolds

Explore mixed-spin-p-fields method for Calabi-Yau quintics, its application to BCOV Feynman summation rule, and generalization to hypersurfaces in toric varieties.

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

Galileo Galilei Institute

Reduced Gromov-Witten Invariants

Explore reduced Gromov-Witten invariants, their mathematical foundations, and applications in algebraic geometry and theoretical physics.

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

Institute for Advanced Study

Open Gromov-Witten Invariants in Genus Zero

Delve into advanced mathematical concepts of open Gromov-Witten invariants, exploring curve counting, Lagrangian cobordisms, and moduli spaces through Solomon-Tukachinsky's framework.

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

M-Seminar, Kansas State University

Skein Valued Open Gromov-Witten Invariants and Cluster Mutations

Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.

• YouTube
• 1 hour 21 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

Open Gromov-Witten Invariants from the Fukaya Category

Explore recent progress in deriving Gromov-Witten invariants from the Fukaya category, focusing on cyclic open-closed maps, R-matrices, and potential extensions to open invariants.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Infinity Inner Products and Open Gromov-Witten Invariants

Delve into the construction of open Gromov-Witten potential with Sebastian Haney, exploring homotopy cyclic inner products on Fukaya A-infinity algebras and their role in extracting invariants valued in any characteristic zero field.

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

IMSA

Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants

Explore non-archimedean geometry's role in Gromov-Witten invariants, focusing on derived approaches, K-theory, and motivic cohomology. Learn about geometric relations and their implications for numerical invariants.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Symplectic Orbifold Gromov-Witten Invariants

Dive into symplectic orbifold Gromov-Witten invariants, exploring recent developments in moduli spaces and global Kuranishi charts for pseudo-holomorphic curves in symplectic orbifolds.

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

Western Hemisphere Virtual Symplectic Seminar

Global Kuranishi Charts and Product Formula for Symplectic Gromov-Witten Invariants

Explore global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps and their application in proving the product formula for symplectic Gromov-Witten invariants.

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

Institute for Advanced Study

Infinity Inner Products and Open Gromov-Witten Invariants

Delve into the mathematical world of open Gromov-Witten invariants, infinity inner products, and their construction with values in any characteristic zero field through homotopy cyclic inner products on Fukaya A-infinity algebras.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video