Symplectic Diffeology
Explore symplectic diffeology, a mathematical concept blending symplectic geometry and diffeology, with expert Patrick Iglesias-Zemmour from Hebrew University of Jerusalem.
Dynamical Systems Arising from the Classification of Geometric Structures
Explore dynamical systems in geometric structure classification, delving into mathematical concepts and their applications in topology and geometry.
Noncommutative U(1) Gauge Theory in the Semiclassical Limit
Explore U(1) gauge theory on Poisson manifolds as a semiclassical limit of noncommutative spacetimes. Examine gauge potentials, transformations, and symplectic realizations in Poisson electrodynamics.
Graded Jet Geometry - Part II
Explore advanced concepts in graded jet geometry, building upon foundational knowledge to delve into complex mathematical structures and their applications.
Equivariant Lagrangian Correspondences and Applications
Explore equivariant Lagrangian correspondences and their applications in mathematics, focusing on advanced concepts and theoretical frameworks.
Equivariant Quantum Volumes and Symplectic Cuts - Lecture 2
Explore advanced concepts in equivariant quantum volumes and symplectic cuts, delving into mathematical theories and applications in theoretical physics.
Equivariant Quantum Volumes and Symplectic Cuts - Lecture 1
Explore equivariant quantum volumes and symplectic cuts in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
Reduced Gromov-Witten Invariants
Explore reduced Gromov-Witten invariants, their mathematical foundations, and applications in algebraic geometry and theoretical physics.
Balanced Metrics and the Hull-Strominger System
Explore balanced metrics and the Hull-Strominger system in complex geometry, examining their connections and applications in mathematical physics.
On the Fukaya-Morse A-infinity Category
Explore the intricacies of Fukaya-Morse A-infinity category with Pavel Mnev, delving into advanced mathematical concepts and their applications in topology and geometry.
The Moore-Tachikawa Conjecture via Shifted Symplectic Geometry
Explore shifted symplectic geometry's role in the Moore-Tachikawa conjecture, delving into advanced mathematical concepts and their applications in algebraic geometry.
Skein Valued Open Gromov-Witten Invariants and Cluster Mutations
Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.
Counting Holomorphic Disks with Boundary on the Chiang Lagrangian
Explore open Gromov-Witten invariants and holomorphic disks on the Chiang Lagrangian, examining periodic behaviors and arithmetic structures in open WDVV equations.
Arclike Lagrangians in Liouville Sectors
Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.
Skeins, Clusters and Wavefunctions in Open Gromov-Witten Theory
Explore open Gromov-Witten theory and skein-theoretic cluster theory in computing wavefunctions for Lagrangian branes, as presented by Gus Schrader from Northwestern University.
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.
Mirror Symmetry via Floer Theoretic Invariants
Explore generalized Delzant subdomains, relative symplectic cohomology, and mirror symmetry construction using Floer theoretic invariants. Delve into HMS functor and local generation concepts.
The Closed String Mirror Construction
Explore the closed string mirror construction in symplectic geometry, examining its relation to the SYZ conjecture and potential applications in mirror symmetry.
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.
Monotone Twist Maps and Dowker-Type Theorems
Explore geometric inequalities in billiard systems, connecting Dowker's theorems to Mather's β-function and deriving new insights for various billiard types.