Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 3
Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.
Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 2
Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.
One-Loop Renormalizability of the Spectral Action Using Cyclic Cocycles
Explore one-loop renormalizability of the spectral action principle using cyclic cocycles, uncovering its cyclic structure and connections to ribbon graphs in non-commutative geometry.
Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 2
Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 3
Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers, with insights on incorporating descendants.
Functional Relations for Higher Order Free Cumulants and Moments
Explore functional relations between generating series of cumulants and moments in higher order free probability. Gain insights into matrix models and topological recursion.
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.
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.
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 2
Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers. Examine ongoing research on descendants in tropical algorithms.
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.
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 1
Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, branch polynomials, and k-DR cycles, uncovering new perspectives in algebraic combinatorics.
Nonlinear Dynamics Insights into Golden Tides in the Caribbean Sea
Explore nonlinear dynamics of Sargassum transport in the Caribbean Sea, examining mesoscale eddies as carriers and mechanisms of coastal inundation using satellite data and minimal models.
Enumeration of Maps via Integrability
Explore map enumeration techniques, from Tutte's work to KP hierarchy, deriving recurrence formulas for oriented and non-oriented maps using integrability methods in mathematics and physics.
Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 1
Explore joint behavior of independent random tensor matrices with smaller symmetry groups. Learn about tensor structures, generalizations of free probability, and new analytical techniques.
Higher Rank Voronoi Decompositions and Metric Degenerations of Tori
Explore higher rank Voronoi decompositions and their applications in studying asymptotic geometry of Riemann surfaces and moduli spaces.
Tropicalization of the Universal Jacobian: Logarithmic and Non-Archimedean Views
Explore tropicalization of universal Jacobians, examining logarithmic and non-archimedean perspectives. Gain insights into moduli spaces, cone stacks, and new stability conditions for compactified Jacobians.
Spectral Theory of Stationary Spacetimes - Part I
Explore spectral theory in stationary spacetimes, delving into mathematical concepts at the intersection of relativity and quantum mechanics.
Microlocal Methods for Operators with Analytic Coefficients - Lecture 1
Explore microlocal methods for operators with analytic coefficients in this advanced mathematics lecture by Maciej Zworski.
Initial Data Rigidity via Dirac-Witten Operators
Explore initial data rigidity in spin settings using Dirac-Witten operators. Derive a rigidity theorem for manifolds with boundary, examining dominant energy conditions and null expansion scalars.
Nonlinear Hyperbolic Conservation Laws on Manifolds
Explore nonlinear scalar hyperbolic equations on Riemannian varieties, covering existence, uniqueness, entropy conditions, finite-volume schemes, and numerical results.
Finite Difference Schemes for Partial Differential Equations in Oceanography - Munk Equation and Shallow Water Equations
Explore high-order finite difference schemes for Munk equation and Shallow Water equations on Cubed Sphere grid, with numerical and convergence analysis.