Topological Recursion and Matrix Models - Lecture 4
Explore advanced concepts in topological recursion and matrix models, delving into complex mathematical theories and applications.
Reducible Topological Recursion - Lecture 2
Explore advanced concepts in reducible topological recursion, building on previous knowledge and delving into complex mathematical theories and applications.
Topological Recursion and Matrix Models - Lecture 3
Explore advanced concepts in topological recursion and matrix models, delving into complex mathematical theories and applications.
Reducible Topological Recursion - Lecture 1
Explore reducible topological recursion with Reinier Kramer, delving into advanced mathematical concepts and their applications in this comprehensive lecture.
Super Topological Recursion - Lecture 1
Explore super topological recursion with Kento Osuga in this comprehensive lecture, delving into advanced mathematical concepts and their applications.
Topological Recursion and Matrix Models - Lecture 2
Explore advanced concepts in topological recursion and matrix models, building on fundamental principles to deepen mathematical understanding.
Super Topological Recursion - Lecture 2
Explore advanced concepts in super topological recursion, building on previous knowledge and delving into complex mathematical theories and applications.
Topological Recursion and Matrix Models - Lecture 1
Explore topological recursion and matrix models with Bertrand Eynard in this comprehensive lecture from the TRSalento school, delving into advanced mathematical concepts.
SDEs Are All You Need for Latent Variable Models
Explore stochastic differential equations for latent variable models, focusing on applications in probabilistic AI and machine learning.
Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups
Explore generalizations of Birkhoff's theorem for amenable group actions and von Neumann algebras, focusing on non-commutative maximal functions and operator families.
Combinatorics of the Amplituhedron
Explore the amplituhedron's connections to cluster algebras, matroids, and combinatorics in this gentle introduction by Lauren Williams from Harvard University.
Reddening Sequences for Cluster Algebras
Explore reddening sequences in cluster algebras, their implications, and known cases, delving into finite dimensionality, invariants, and canonical bases.
Phase Transitions of Composition Schemes and Their Universal Limit Laws
Explore phase transitions in composition schemes, analyzing critical cases and their impact on asymptotic behavior. Uncover rich limit laws and universal properties in combinatorial structures.
Scalar Curvature Rigidity in Manifolds
Explore scalar curvature rigidity in manifolds, examining known solutions and current research questions using spinorial techniques.
Recent Inequalities on the Mass-to-Capacity Ratio
Explore new inequalities for mass-to-capacity ratio on manifolds with nonnegative scalar curvature, revealing proofs of positive mass theorem and applications in geometry.
Understanding Integrability, Chaos and Thermalization from Low Frequency Noise
Explore integrability, chaos, and thermalization through low frequency noise analysis, gaining insights into complex physical systems.
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.
Positive Mass Theorem for Asymptotically Hyperbolic Manifolds
Explore the positive mass theorem for asymptotically hyperbolic manifolds and its implications in AdS/CFT correspondence and global invariants at conformal infinity.
Intrinsic Flat Stability of the Positive Mass Theorem for Graphical Manifolds
Explore intrinsic flat stability of positive mass theorem for graphical manifolds, focusing on asymptotically flat and hyperbolic cases. Gain insights into rigidity, stability, and ongoing research.
Blow Up for the 1D Cubic NLS and Related Systems
Explore singularity formation in 1D Schrödinger equations with cubic nonlinearity and its connections to Schrödinger map and vortex filament equation.