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.
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.
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.
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.
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.
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.
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.
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.
Exact ∞-Categories
Explore exact ∞-categories with Gustavo Jasso in this advanced mathematical lecture, delving into current trends in representation theory and cluster algebras.
Cluster Algebras and the Amplituhedron - Definition - Lecture 1
Explore cluster algebras and the amplituhedron definition with Lauren K. Williams in this advanced mathematics conference talk from CIRM's Audiovisual Mathematics Library.