Enumerative Invariants from Categories
Explore enumerative predictions in Mirror Symmetry through categorical approaches, focusing on Gromov-Witten invariants and their analogues in dg or A-infinity Calabi-Yau categories.
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.
Introduction to Lagrangian Fillings of Legendrian Links - Part 1
Explore Lagrangian fillings of Legendrian links, their construction, and techniques to distinguish Hamiltonian isotopy classes. Delve into the connection with cluster algebras and key proof elements.
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.
Holomorphic Floer Theory and Exponential Integrals
Explore Holomorphic Floer Theory's applications to exponential integrals, wall-crossing formulas, and complex symplectic manifolds. Gain insights into Riemann-Hilbert correspondence and non-abelian Hodge theory.
Equivariant Fukaya Categories at the Singular Value
Explore equivariant Fukaya categories, relating wrapped Fukaya categories of symplectic manifolds with Hamiltonian S^1 actions to their Hamiltonian reductions. Discover new conjectures and examples.
Wall-Crossing for Calabi-Yau Fourfolds and Applications
Explore wall-crossing formulae for Calabi-Yau fourfolds, their proof, and applications to stable pairs counting points, curves, and surfaces, building on Joyce's framework.
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.
Categorification of Donaldson-Thomas Invariants
Explore categorification of Donaldson-Thomas invariants through derived foliations, extending BBDJS construction with a sheaf of 2-periodic dg-categories modeled on matrix factorizations.
Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry
Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.
A Symplectic Manifold Which Can't Be Fully Filled
Explore a unique toric domain in R^4, its symplectic properties, and packing stability failures. Discover obstructions from ECH capacities in this advanced mathematical discussion.
Invariance of Floer Cohomology Under Higher Mutation
Explore higher mutations in monotone toric fibers and their impact on Floer cohomology. Delve into locally mutable Lagrangians and neck-stretching techniques to understand invariance under local system changes.
The Dual Lagrangian Fibrations of Compact Hyper-Kähler Manifolds
Explore dual Lagrangian fibrations of compact hyper-Kähler manifolds, focusing on construction, duality, and topological mirror symmetry in higher-dimensional generalizations of K3 surfaces.
Applications of the Relation Between Cluster Algebras and Symplectic Topology - Part 2
Explore applications of cluster algebras in symplectic topology, including detection of Lagrangian fillings and holomorphic symplectic structures. Examine implications for Richardson varieties and quasi-cluster structures.
Cluster Algebras Associated to Bott-Samelson Braids
Explore cluster algebras associated with Bott-Samelson braids, focusing on Legendrian links and their connection to algebraic varieties and Lagrangian fillings. Discover weaves and their computational applications.
Cluster Algebras for General Braid Varieties
Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.
Global Kuranishi Charts and Product Formula for Symplectic Gromov-Witten Invariants
Explore global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps and their application in proving the product formula for symplectic Gromov-Witten invariants.