Topological Recursion Courses and Certifications

Fields Institute

On the X Y Symmetry in Topological Recursion via Loop Insertion Operator

Explore the x-y symmetry in Topological Recursion through the lens of loop insertion operators, delving into advanced mathematical concepts and their applications.

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

IMSA

Topological Recursion for Masur-Veech Volumes

Explore geometric recursion's impact on multicurve length statistics and Masur-Veech volumes in moduli spaces of quadratic differentials, based on collaborative research findings.

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

IMSA

Topological Recursion: From A to Z

Comprehensive exploration of topological recursion, covering fundamental concepts to advanced applications in mathematics and physics.

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

IMSA

Topological Recursion for Hurwitz Theory and Intersection Theory of Moduli Spaces of Curves

Explore topological recursion in Hurwitz theory and its connections to moduli spaces of curves. Discover ELSV-type formulae and their impact on understanding ramifications and cohomological field theories.

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

IMSA

Prequels and Possible Sequels to Topological Recursion

Exploration of topological recursion's origins, connections to Hopf algebras, and potential future developments, bridging discrete data and moduli spaces through cubical complexes.

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

IMSA

Open-Relative Correspondence and Topological Recursion

Explore the connection between open Gromov-Witten invariants and relative Gromov-Witten invariants in symplectic geometry, and their relation to topological recursion.

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

IMSA

Topological Recursion, Virasoro-W-Algebra Constraints, and Kontsevich-Soibelman

Explore Virasoro and W-algebra constraints in topological recursion, Kontsevich-Soibelman operators, and their connection to Conformal Field Theory in this advanced mathematics lecture.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Topological Recursion - Lecture II

Explore advanced concepts in topological recursion with expert Bertrand Eynard, delving into complex mathematical theories and their applications in physics and geometry.

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

IMSA

Topological Recursion - Lecture I

Explore the foundations of topological recursion with expert Bertrand Eynard, delving into mathematical concepts and applications in this comprehensive lecture.

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

Institut des Hautes Etudes Scientifiques (IHES)

Topological Recursion: A Recursive Way of Counting Surfaces

Explore topological recursion for enumerating surfaces in combinatorics, geometry, and physics. Learn how this universal method links to integrable systems and random matrices.

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

Institut des Hautes Etudes Scientifiques (IHES)

Topological Recursion, Painlevé Equation, Exact WKB and Resurgence

Explore topological recursion's connections to WKB, Painlevé equations, and BPS structures. Delve into resurgence properties and non-linear Stokes phenomena in Painlevé transcendents.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 3

Explore x-y symplectic transformation in topological recursion and its applications through an advanced mathematical lecture by Alexander Hock.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 2

Explore x-y symplectic transformations in topological recursion and their applications through an advanced mathematical lecture.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

X-Y Symplectic Transformation in Topological Recursion - Lecture 1

Explore x-y symplectic transformation in topological recursion through an in-depth lecture by Alexander Hock at the ESI workshop on non-commutative geometry.

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

IPhT-TV

Topological Recursion and Matrix Models - Lecture 4

Explore advanced concepts in topological recursion and matrix models, delving into complex mathematical theories and applications.

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