MathVideos.org
  • Seminars
    • Algebra
      • Associative Rings
        • Ariki-Koike Algebras
        • Cluster Algebras
        • Group Rings
        • Hecke Algebras
        • KLR Algebras
        • Schur Algebras
      • Commutative Algebra
      • Fusion Systems
      • Group Theory
        • Abelian Groups
        • Algebraic Groups
        • Combinatorial Group Theory
        • Computational Group Theory
        • Finite Groups
        • Geometric Group Theory
        • Infinite Groups
        • Lie Groups
        • Permutation Groups
      • Lie Theory
        • Algebraic Groups
        • Lie Algebras
        • Lie Groups
        • p-Adic Groups
        • Representations of Algebraic Groups
      • Non-Associative Algebras
        • Jordan and Axial Algebras
        • Lie Algebras
        • Other Non-Associative Rings
      • Representation Theory
        • Geometric Representation Theory
        • Representations of Algebraic Groups
        • Representations of Finite Groups
        • Representations of Lie Algebras
        • Representations of Symmetric Groups
      • Semigroups
    • Analysis
      • Complex Analysis
      • Functional Analysis
      • Harmonic Analysis
    • Category Theory
      • Derived Categories
      • Higher Category Theory
      • Triangulated Categories
    • Combinatorics
      • Additive Combinatorics
      • Algebraic Combinatorics
      • Extremal Combinatorics
      • Graph Theory
    • Geometry
      • Algebraic Geometry
        • Birational Geometry
      • Differential Geometry
      • Discrete Geometry
      • Non-Commutative Geometry
      • Symplectic Geometry
    • Logic
    • Mathematical Finance
    • Mathematical Physics
    • Number Theory
      • Additive Number Theory
      • Analytic Number Theory
      • Algebraic Number Theory
      • Computational Number Theory
      • Diophantine Equations
      • Diophantine Geometry
      • Number Theory and Forms
      • Probabilistic Number Theory
    • Optimization
    • Probability Theory
    • Topology
      • Algebraic Topology
      • Analytic Topology
      • Differential Topology
      • Dynamical Systems
      • Geometric Topology
  • Short Courses
    • Algebra
    • Analysis
    • Category Theory
    • Combinatorics
    • Geometry
    • Mathematical Physics
    • Number Theory
    • Probability Theory
    • Topology
  • Lecture Courses
    • Algebra
    • Analysis
    • Category Theory
    • Combinatorics
    • Geometry
    • Mathematical Physics
    • Number Theory
    • Probability Theory
    • Topology
  • ···
    MathVideos.org
    • Seminars
      • Algebra
        • Associative Rings
          • Ariki-Koike Algebras
          • Cluster Algebras
          • Group Rings
          • Hecke Algebras
          • KLR Algebras
          • Schur Algebras
        • Commutative Algebra
        • Fusion Systems
        • Group Theory
          • Abelian Groups
          • Algebraic Groups
          • Combinatorial Group Theory
          • Computational Group Theory
          • Finite Groups
          • Geometric Group Theory
          • Infinite Groups
          • Lie Groups
          • Permutation Groups
        • Lie Theory
          • Algebraic Groups
          • Lie Algebras
          • Lie Groups
          • p-Adic Groups
          • Representations of Algebraic Groups
        • Non-Associative Algebras
          • Jordan and Axial Algebras
          • Lie Algebras
          • Other Non-Associative Rings
        • Representation Theory
          • Geometric Representation Theory
          • Representations of Algebraic Groups
          • Representations of Finite Groups
          • Representations of Lie Algebras
          • Representations of Symmetric Groups
        • Semigroups
      • Analysis
        • Complex Analysis
        • Functional Analysis
        • Harmonic Analysis
      • Category Theory
        • Derived Categories
        • Higher Category Theory
        • Triangulated Categories
      • Combinatorics
        • Additive Combinatorics
        • Algebraic Combinatorics
        • Extremal Combinatorics
        • Graph Theory
      • Geometry
        • Algebraic Geometry
          • Birational Geometry
        • Differential Geometry
        • Discrete Geometry
        • Non-Commutative Geometry
        • Symplectic Geometry
      • Logic
      • Mathematical Finance
      • Mathematical Physics
      • Number Theory
        • Additive Number Theory
        • Analytic Number Theory
        • Algebraic Number Theory
        • Computational Number Theory
        • Diophantine Equations
        • Diophantine Geometry
        • Number Theory and Forms
        • Probabilistic Number Theory
      • Optimization
      • Probability Theory
      • Topology
        • Algebraic Topology
        • Analytic Topology
        • Differential Topology
        • Dynamical Systems
        • Geometric Topology
    • Short Courses
      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology
    • Lecture Courses
      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology
    • ···
      MathVideos.org
      • Seminars
        • Algebra
          • Associative Rings
            • Ariki-Koike Algebras
            • Cluster Algebras
            • Group Rings
            • Hecke Algebras
            • KLR Algebras
            • Schur Algebras
          • Commutative Algebra
          • Fusion Systems
          • Group Theory
            • Abelian Groups
            • Algebraic Groups
            • Combinatorial Group Theory
            • Computational Group Theory
            • Finite Groups
            • Geometric Group Theory
            • Infinite Groups
            • Lie Groups
            • Permutation Groups
          • Lie Theory
            • Algebraic Groups
            • Lie Algebras
            • Lie Groups
            • p-Adic Groups
            • Representations of Algebraic Groups
          • Non-Associative Algebras
            • Jordan and Axial Algebras
            • Lie Algebras
            • Other Non-Associative Rings
          • Representation Theory
            • Geometric Representation Theory
            • Representations of Algebraic Groups
            • Representations of Finite Groups
            • Representations of Lie Algebras
            • Representations of Symmetric Groups
          • Semigroups
        • Analysis
          • Complex Analysis
          • Functional Analysis
          • Harmonic Analysis
        • Category Theory
          • Derived Categories
          • Higher Category Theory
          • Triangulated Categories
        • Combinatorics
          • Additive Combinatorics
          • Algebraic Combinatorics
          • Extremal Combinatorics
          • Graph Theory
        • Geometry
          • Algebraic Geometry
            • Birational Geometry
          • Differential Geometry
          • Discrete Geometry
          • Non-Commutative Geometry
          • Symplectic Geometry
        • Logic
        • Mathematical Finance
        • Mathematical Physics
        • Number Theory
          • Additive Number Theory
          • Analytic Number Theory
          • Algebraic Number Theory
          • Computational Number Theory
          • Diophantine Equations
          • Diophantine Geometry
          • Number Theory and Forms
          • Probabilistic Number Theory
        • Optimization
        • Probability Theory
        • Topology
          • Algebraic Topology
          • Analytic Topology
          • Differential Topology
          • Dynamical Systems
          • Geometric Topology
      • Short Courses
        • Algebra
        • Analysis
        • Category Theory
        • Combinatorics
        • Geometry
        • Mathematical Physics
        • Number Theory
        • Probability Theory
        • Topology
      • Lecture Courses
        • Algebra
        • Analysis
        • Category Theory
        • Combinatorics
        • Geometry
        • Mathematical Physics
        • Number Theory
        • Probability Theory
        • Topology

      Chang-Shou Lin: Green Function, Mean Field Equation and Painlevé VI Equation I

      21st November, 2015
      Watch LaterRemove Cinema Mode

      This is the first part of two talks, the second of which may be found here.

      This video is part of Harvard University‘s conference Current Developments in Mathematics 2015.

      Mathematical physics Probability theory

      You may also like

      Kai Hugtenburg: Open Gromov-Witten Invariants from the Fukaya Category

      10th February, 2023

      Nikolai Makarov: Random matrices, Laplacian growth, and conformal dynamics I

      17th November, 2017

      Albert Schwarz: Some questions on Jordan algebras inspired by quantum theory

      27th August, 2020

      Ching Hung Lam: A lattice theoretical interpretation of generalized deep holes

      6th June, 2022

      Hugo Duminil-Copin: Geometric approaches to lattice spin models: the example of the Potts model II

      20th November, 2015

      Zohreh Davoudi: Quantum simulating hadronic scattering: From confining spin models to gauge theories

      1st March, 2024

      In ‘Seminars’

      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Logic
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology

      About MathVideos

      MathVideos attempts to produce a catalogue of all research-level seminar and course videos from across the Internet. Started by David Craven, it is not affiliated in any way with the University of Birmingham.

      Privacy Policy

      Contact Us

      Most recent videos

      • Nikolay Bogachev: Geometry, Arithmetic, and Dynamics of Discrete Groups, XXI 3rd December, 2024
      • David Fernández: Non-commutative Poisson geometry and pre-Calabi-Yau algebras 2nd December, 2024
      • Hadi Salmasian: Lie Groups and Quantization, XXIII 2nd December, 2024
      • Jon Woolf: Heart fans as universal phase diagrams 28th November, 2024
      • Nikolay Bogachev: Geometry, Arithmetic, and Dynamics of Discrete Groups, XX 28th November, 2024