Topological recursion
In mathematics, topological recursion is a recursive definition of invariants of spectral curves.It has applications in enumerative geometry, random matrix theory, mathematical physics, string theory, knot theory. (Wikipedia).
In mathematics, topological recursion is a recursive definition of invariants of spectral curves.It has applications in enumerative geometry, random matrix theory, mathematical physics, string theory, knot theory. (Wikipedia).
Elba Garcia-Failde: Introduction to topological recursion - Lecture 1
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi
From playlist Noncommutative geometry meets topological recursion 2021
Elba Garcia-Failde: Introduction to topological recursion - Lecture 3
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi
From playlist Noncommutative geometry meets topological recursion 2021
Elba Garcia-Failde: Introduction to topological recursion - Lecture 2
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi
From playlist Noncommutative geometry meets topological recursion 2021
Jørgen E Andersen - Geometric Recursion with a View Towards Resurgence
We shall review the geometric recursion and its relation to topological recursion. In particular, we shall consider the target theory of continuous functions on Teichmüller spaces and we shall exhibit a number of classes of mapping class group invariant f
From playlist Resurgence in Mathematics and Physics
Jørgen Ellegaard Andersen: Geometric Recursion
Abstract: Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fit
From playlist Topology
Bertrand Eynard - 1/4 Topological Recursion, from Enumerative Geometry to Integrability
https://indico.math.cnrs.fr/event/3191/ Topological recursion (TR) is a remarkable universal recursive structure that has been found in many enumerative geometry problems, from combinatorics of maps (discrete surfaces), to random matrices, Gromov-Witten invariants, knot polynomials, confor
From playlist Bertrand Eynard - Topological Recursion, from Enumerative Geometry to Integrability
Bertrand Eynard - 3/4 Topological Recursion, from Enumerative Geometry to Integrability
https://indico.math.cnrs.fr/event/3191/ Topological recursion (TR) is a remarkable universal recursive structure that has been found in many enumerative geometry problems, from combinatorics of maps (discrete surfaces), to random matrices, Gromov-Witten invariants, knot polynomials, confor
From playlist Bertrand Eynard - Topological Recursion, from Enumerative Geometry to Integrability
Bertrand Eynard - 4/4 Topological Recursion, from Enumerative Geometry to Integrability
https://indico.math.cnrs.fr/event/3191/ Topological recursion (TR) is a remarkable universal recursive structure that has been found in many enumerative geometry problems, from combinatorics of maps (discrete surfaces), to random matrices, Gromov-Witten invariants, knot polynomials, confor
From playlist Bertrand Eynard - Topological Recursion, from Enumerative Geometry to Integrability
Bertrand Eynard - 2/4 Topological Recursion, from Enumerative Geometry to Integrability
https://indico.math.cnrs.fr/event/3191/ Topological recursion (TR) is a remarkable universal recursive structure that has been found in many enumerative geometry problems, from combinatorics of maps (discrete surfaces), to random matrices, Gromov-Witten invariants, knot polynomials, confor
From playlist Bertrand Eynard - Topological Recursion, from Enumerative Geometry to Integrability
Elba Garcia-Failde - Quantisation of Spectral Curves of Arbitrary Rank and Genus via (...)
The topological recursion is a ubiquitous procedure that associates to some initial data called spectral curve, consisting of a Riemann surface and some extra data, a doubly indexed family of differentials on the curve, which often encode some enumerative geometric information, such as vol
From playlist Workshop on Quantum Geometry
Alexander Hock: From noncommutative quantum field theory to blobbed topological recursion
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Scalar quantum field theory on noncommutative Moyal space can be approximated by matrix models with non-trivial covariance. One example is the Kontsevich model, which
From playlist Noncommutative geometry meets topological recursion 2021
From playlist Algorithms 1
Séverin Charbonnier: Topological recursion for fully simple maps
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Fully simple maps show strong relations with symplectic invariance of topological recursion and free probabilities. While ordinary maps satisfy topological recursion
From playlist Noncommutative geometry meets topological recursion 2021
15. Dynamic Programming, Part 1: SRTBOT, Fib, DAGs, Bowling
MIT 6.006 Introduction to Algorithms, Spring 2020 Instructor: Erik Demaine View the complete course: https://ocw.mit.edu/6-006S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63EdVPNLG3ToM6LaEUuStEY This is the first of four lectures on dynamic programing. This begin
From playlist MIT 6.006 Introduction to Algorithms, Spring 2020
Bertrand Eynard - Considerations about Resurgence Properties of Topological Recursion
To a spectral curve $S$ (e.g. a plane curve with some extra structure), topological recursion associates a sequence of invariants: some numbers $F_g(S)$ and some $n$-forms $W_{g,n}(S)$. First we show that $F_g(S)$ grow at most factorially at large $g$, $F_g = O((
From playlist Resurgence in Mathematics and Physics