Cohomological Hall Algebras of 0-Dimensional Sheaves on Surfaces
Explore cohomological Hall algebras of 0-dimensional sheaves on surfaces, their explicit description, and applications to moduli spaces of sheaves with positive-dimensional support.
Periodic Pencils of Flat Connections and Their p-Curvature
Explore periodic pencils of flat connections, their properties, examples, and p-curvature in characteristic p. Discover insights on eigenvalues and regular singularities in algebraic geometry.
Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 4
Explore cohomological Hall algebras of 2-Calabi-Yau categories and their applications in algebraic geometry and representation theory. Gain insights into enumerative geometry and Kac-Moody algebras.
Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 3
Explore cohomological Hall algebras of 2-Calabi-Yau categories and their applications in algebraic geometry and representation theory. Gain insights into enumerative geometry and Kac-Moody algebras.
Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 1
Explore cohomological Hall algebras in 2-Calabi-Yau categories, their interactions with algebraic geometry, and applications to enumerative geometry and representation theory.
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.
Perverse Sheaves in Deformation Quantization
Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.
Universally Counting Curves in Calabi-Yau Threefolds
Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.
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.
The K-theoretic DT/PT Vertex Correspondence
Explore K-theoretic DT/PT vertex correspondence on toric 3- and 4-folds, examining equivariant wall-crossing, symmetrized pullbacks, and applications to related conjectures.
Springer Theory for Homogeneous Affine Springer Fibers
Explore Springer theory for homogeneous affine Springer fibers, examining their role in geometric representation theory and connections to Hitchin integrable systems and quantum groups.
Defining A-infinity Structures in Monoidal DG Categories
Explore A-infinity algebra objects in monoidal DG categories, their applications, and the Barr-Beck theorem analog for enhanced triangulated categories.
Empty Real Plane Sextic Curves
Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.
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.
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.
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.