Flops and Hilbert Scheme of Space Curve Singularities
Explore pagoda flop transitions and their application in deriving explicit results for topological invariants of Hilbert schemes of space curve singularities.
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.
Structural Features of 3D Mirror Symmetry
Explore homological 3d mirror symmetry, its equivalences, and applications in toric settings. Uncover connections to hypertoric Koszul duality and Tate's thesis.
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.
P=W via H2 - Moduli Space of Stable Twisted Higgs Bundles
Explore the cohomology of stable twisted Higgs bundles moduli space through $H_2$ Lie algebra action, unifying weight and perverse filtrations via tautological classes and Hecke operators.
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.
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.
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.
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.
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.
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.
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.
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.
Coherent Orientations of DGA Maps Associated to Exact Lagrangian Cobordisms
Explore coherent orientations of DGA maps in exact Lagrangian cobordisms, focusing on combinatorial formulas for mini-dipped pinch moves and applications to Heegaard Floer Homology.