Title: Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma
Subjects: Painlevé equations, Congresses, Nonlinear Differential equations, Hamiltonian systems, Ordinary differential equations -- Differential equations in the complex domain -- Painlevé and other special equations; classification, hierarchies;, Ordinary differential equations -- Differential equations in the complex domain -- Isomonodromic deformations, Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)., Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Soliton theory, asymptotic behavior of solutions, Combinatorics -- Graph theory -- Enumeration in graph theory, Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Algebraic geometry -- Curves -- Families, moduli (analytic), Difference and functional equations -- Difference equations -- Multiplicative and other generalized difference equations, e.g. of Lyness type, Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Painlevé-type functions, Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52), Differential equations, nonlinear, Geometry, algebraic, Ordinary differential equations, Differential equations in the complex domain, Painlevé and other special equations; classification, hierarchies;, Isomonodromic deformations, Dynamical systems and ergodic theory, Infinite-dimensional Hamiltonian systems, Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.), Soliton theory, asymptotic behavior of solutions, Combinatorics, Graph theory, Enumeration in graph theory, Algebraic geometry, Families, fibrations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Curves, Families, moduli (analytic), Difference and functional equations, Difference equations, Multiplicative and other generalized difference equations, e.g. of Lyness type, Special functions (33-XX deals with the properties of functions as functions), Other special functions, Painlevé-type functions, Probability theory and stochastic processes, Probability theory on algebraic and topological structures, Random matrices (probabilistic aspects; for algebraic aspects see 15B52)