Positivity and Higher Teichmüller Spaces
Explore positivity in Lie groups, positive representations, and their connected components. Delve into Hitchin's Teichmüller components and related open questions in higher Teichmüller theory.
Introduction to Theory and Numerics of Partial Differential Equations - Lecture 4
Explore advanced concepts in partial differential equations, focusing on theory and numerical methods for solving complex mathematical problems in physics and engineering.
Geometry of Dimer Models
Explore the asymptotic phenomena of random dimer coverings on large planar graphs, focusing on Aztec diamonds and their connection to Riemann surface geometry in this advanced mathematics lecture.
Limit Shapes of Non-Intersecting Brownian Bridges via Harmonic Envelope
Explores limit shapes of non-intersecting Brownian bridges, focusing on macroscopic patterns and connections to random Young tableaux using the tangent plane method and harmonic envelope.
Scaling Limit of Colored Asymmetric Simple Exclusion Process
Explore the scaling limit of colored ASEP using Yang-Baxter equation and Gibbs line ensemble techniques, revealing connections to the KPZ universality class and related probabilistic objects.
Knot Theory in Mathematics and AI Applications
Explore the fascinating world of knot theory and its connections to mathematics and AI in this engaging talk by Ernesto Lupercio from CINVESTAV.
Introduction to Chern Simons Theory and Topology
Explore Chern Simons Theory and its connections to topology with renowned physicist Edward Witten in this advanced workshop on quantum information and physics.
Finding Symplectic Balls in Disguise with Integrable Systems
Explore integrable systems to uncover hidden symplectic balls, delving into Hamiltonian geometry and its applications in mathematical physics.
Zero Mean Curvature Surfaces in Lorentz Minkowski Spaces - Lecture 3
Explore zero mean curvature surfaces in Lorentz-Minkowski spaces with expert Shoichi Fujimori. Delve into advanced geometric concepts and their applications in this specialized lecture.
Zero Mean Curvature Surfaces in Lorentz Minkowski Spaces - Lecture 1
Explore zero mean curvature surfaces in Lorentz-Minkowski spaces with expert Shoichi Fujimori. Gain insights into this evolving field of mathematical research and its applications.
From Symplectic Deformation to Isotopy - Equivariant Perspective
Explore symplectic deformation and equivariant isotopy in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
Minimal Surfaces in Geometry and General Relativity
Explore the fascinating intersection of minimal surfaces with geometry and general relativity, delving into their mathematical properties and applications in physics.
The tt*-Toda Equations and Symplectic Groupoids
Explore tt*-Toda equations and symplectic groupoids in this advanced mathematics talk by Nan-Kuo Ho, delving into toric topology and geometry concepts.
Symplectic Diffeology
Explore symplectic diffeology, a mathematical concept blending symplectic geometry and diffeology, with expert Patrick Iglesias-Zemmour from Hebrew University of Jerusalem.
Topology and Dynamics of Higher-Order Networks - Lecture 1: General Introduction to Algebraic Topology on Networks and Simplicial Complexes
Explore algebraic topology in networks and simplicial complexes, focusing on homology and boundary operators. Gain insights into higher-order network structures and their impact on complex systems.
Topology and Dynamics of Higher-Order Networks - Lecture 3: Topological Dirac Equation and Discrete Network Geometry
Explore topological Dirac equations and discrete network geometry in higher-order networks. Delve into metric cohomology and its applications in mathematical physics and dynamical systems.
Topology and Dynamics of Higher-Order Networks - Lecture 2: Introduction to Algebraic Topology on Networks and Simplicial Complexes
Explore algebraic topology on networks and simplicial complexes, focusing on Hodge Laplacians and Dirac operators in higher-order networks. Gain insights into topological signals and their applications.
Integrability of Open^2 Quantum Circuits
Explore integrability of open^2 quantum circuits with Chiara Paletta, delving into advanced concepts in gauge and string theory.
Integrability and AdS/CFT - Class 3
Explore advanced concepts in integrability and AdS/CFT correspondence with expert Konstantin Zarembo in this in-depth lecture from the Holography@25 School.
The Atypical Growth in Random Interfaces - KPZ Equation and Unusual Growth Patterns
Explore random interface growth phenomena and the KPZ equation, combining probability, PDEs, and integrable systems to understand unusual growth behaviors.
Scalar Quantum Fields on 4-Dimensional Noncommutative Geometry
Explore milestones in renormalisable and solvable scalar QFT models on 4D noncommutative geometry, reflecting on a 25-year collaboration.