Closure of Orbits of the Pure Mapping Class Group on the Character Variety
Explore the pure mapping class group's action on character varieties, examining orbit closures and their implications for various mathematical contexts and applications.
Modular Forms and Differential Equations: Connections and Applications
Explore connections between modular forms and differential equations, from historical origins to modern applications in mathematics and physics.
On the Integrability of the Airy Kernel and Beyond
Explore integrability of the Airy kernel and related mathematical concepts in this advanced mathematical analysis presentation by Sofia Tarricone.
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.
Global Lie Theory: Wild Riemann Surfaces and Their Character Varieties
Explore the evolution of topological symplectic structures, wild Riemann surfaces, and character varieties in global Lie theory. Discover connections to quantum groups, hyperkähler geometry, and integrable systems.
Linear Systems and Differential Equations in Random Matrix Theory
Explore linear systems and differential equations in random matrix theory, focusing on solving nonlinear equations using Hankel operators, Fredholm determinants, and tau functions.
The Non-Abelian p-Curvature Conjecture
Explore a generalized p-curvature conjecture for non-linear ODEs, its implications for algebraic geometry, and proof techniques inspired by Katz and Esnault-Groechenig's work.
Elliptic Orthogonal Polynomials and Their Integrability
Explore elliptic orthogonal polynomials and their integrability through Riemann-Hilbert analysis, examining discrete and continuous integrable systems and connections to the sixth Painlevé equation.
Random Matrices and Statistical Physics - Lecture 2
Explore connections between random matrices and statistical physics, delving into advanced mathematical concepts and their applications in complex systems analysis.
From Liouville to Painlevé and Heun via CFT/Isomonodromy Relation
Explore conformal field theory through integrable, probabilistic, and supersymmetric perspectives, connecting Liouville theory to Painlevé and Heun equations.
From the A2 Quiver Towards the Painlevé I T Function
Explore quantisation of moduli spaces through the A2 quiver and Painlevé I T function, gaining insights into advanced mathematical concepts.
Hamiltonian Structure of Rational Isomonodromic Deformation Systems
Explore Hamiltonian structure of rational isomonodromic deformation systems, focusing on applications in physics and integrability properties of nonlinear differential equations.