Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 4
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 3
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 2
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 1
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and connections to enumerative geometry.
The Geometry and Arithmetic of Banana Nano-Manifolds
Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.
From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence
Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.
Dispatches from the Ends of the Stability Manifold - Lecture 4
Explore advanced concepts in algebraic geometry, including stability conditions, noncommutative minimal model programs, and multi-scale decompositions. Delve into cutting-edge research on augmented stability conditions.
Dispatches from the Ends of the Stability Manifold - Lecture 3
Explore advanced concepts in algebraic geometry, including stability conditions, multi-scale decompositions, and the noncommutative minimal model program. Gain insights into cutting-edge research.
An Irregular Deligne-Simpson Problem
Explore connections on algebraic curves with prescribed singularities, focusing on G-connections with regular and irregular singularities, using rational Cherednik algebras.
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.
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.
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.