Derived Higher Lie Groupoids
Explore advanced concepts in algebraic topology and differential geometry, focusing on derived higher Lie groupoids and their applications in Hamiltonian geometry.
Learning Coarse-Grained Dynamics on Graphs
Explore coarse-grained dynamics on graphs with John Harlim, delving into advanced machine learning techniques for dynamical systems analysis and modeling.
A Dynamical Systems Perspective on Measure Transport and Generative Modeling
Explore measure transport and generative modeling through a dynamical systems lens, gaining insights into advanced machine learning concepts and their applications.
A World From A Sheet of Paper
Explore diverse phenomena through paper folding, from magic tricks to geometry, elasticity, origami, and medical devices. Discover the hidden potential of a simple sheet of paper.
Knots and Knotted Vortices
Explore the fascinating world of knots and knotted vortices in this engaging public lecture by Louis Kauffman, delving into their mathematical and physical properties.
An Introduction to Fusion Rings - Part II
Explore advanced fusion ring concepts, their applications in physics and mathematics, and their connection to particle interactions in various dimensions. Learn computational methods for finding and analyzing fusion rings.
From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence
Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.
Maulik-Okounkov Lie Algebras and BPS Lie Algebras
Explore the connection between Maulik-Okounkov and BPS Lie algebras, examining their roles in quiver varieties and cohomological DT theory. Gain insights into non-abelian stable envelopes and Okounkov's conjecture.
Perverse Sheaves in Deformation Quantization
Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.
Condensed Thoughts - Topological Field Theories and Condensation
Explore topological field theories, focusing on condensation in TQFTs and its relation to connectivity in homotopy types. Gain insights from recent research discussions.
Open Gromov-Witten Invariants from the Fukaya Category
Explore recent progress in deriving Gromov-Witten invariants from the Fukaya category, focusing on cyclic open-closed maps, R-matrices, and potential extensions to open invariants.
Virasoro Constraints in Sheaf Theory
Explore Virasoro constraints in sheaf theory, focusing on recent developments and their application to moduli spaces of sheaves using vertex algebra and wall-crossing techniques.
Stable Envelopes from 2D Mirror Symmetry
Explore stable envelopes through 2D mirror symmetry, connecting equivariant K-theory and Fukaya categories in Coulomb branches. Gain insights into homological mirror symmetry predictions.
Towards 2-Categorical 3D Mirror Symmetry
Explore 2-categorical aspects of 3d mirror symmetry in geometry and representation theory, focusing on boundary conditions in 3d N=4 SUSY QFTs and their connections to hyperkähler geometry.
Quantized Integrable Systems, Normal Forms, and Variation of Hodge Structures
Explore quantum Hamiltonians' Birkhoff normal forms, linking quantized integrable systems to Hodge structure variations in complex symplectic geometry.
Composition, DG-Modules, and Cobordism Maps in Bordered Floer Homology
Explore bordered Floer homology, dg-modules, and the topological interpretation of module homomorphism composition in Heegaard Floer complexes. Gain insights into cobordism maps and their consequences.
Categorical Aspects of the Fueter Equation in 3D Topological Quantum Field Theory
Explore categorical aspects of the Fueter equation, examining its role in topological quantum field theory and connections to complex geometry and mirror symmetry.
Geometry from Donaldson-Thomas Invariants
Explore Donaldson-Thomas invariants in 3-Calabi-Yau categories to define geometric structures on stability condition spaces, focusing on hyperkähler structures and moduli-theoretic constructions.
Singularities of the Quantum Connection on a Fano Variety
Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.
Open/Closed Correspondence and Mirror Symmetry in Gromov-Witten Theory
Explore open/closed correspondence in Gromov-Witten theory, examining numerical invariants, generating functions, and compatibility with mirror symmetry in toric Calabi-Yau manifolds.
Graph Limit for Interacting Particle Systems on Weighted Deterministic and Random Graphs
Explore graph limits for interacting particle systems on weighted deterministic and random structures in this advanced mathematical lecture.