Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 1
Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, branch polynomials, and k-DR cycles, uncovering new perspectives in algebraic combinatorics.
Higher Rank Voronoi Decompositions and Metric Degenerations of Tori
Explore higher rank Voronoi decompositions and their applications in studying asymptotic geometry of Riemann surfaces and moduli spaces.
Tropicalization of the Universal Jacobian: Logarithmic and Non-Archimedean Views
Explore tropicalization of universal Jacobians, examining logarithmic and non-archimedean perspectives. Gain insights into moduli spaces, cone stacks, and new stability conditions for compactified Jacobians.
Weight Zero Compactly Supported Cohomology of Hg,n - Forum of Mathematics Video Series
Explore the moduli space Hg,n and its algebraic structure in this mathematical video presentation on weight zero compactly supported cohomology research.
Reduced Gromov-Witten Invariants
Explore reduced Gromov-Witten invariants, their mathematical foundations, and applications in algebraic geometry and theoretical physics.
Moduli of Stable Supercurves and the Superstring Measure - Lecture 2
Explore moduli of stable supercurves and superstring measure in this advanced mathematical lecture, delving into complex geometric structures and their applications.
Moduli of Stable Supercurves and the Superstring Measure - Part 3
Explore moduli of stable supercurves and superstring measure in this advanced mathematical lecture, delving into complex geometric and algebraic concepts.
Moduli of Stable Supercurves and the Superstring Measure - Lecture 1
Explore moduli of stable supercurves and superstring measure in this advanced mathematical lecture, delving into complex geometric and algebraic concepts.
Super Stable Maps of Genus Zero - Moduli Spaces and Normal Bundles
Explore moduli spaces and normal bundles of super stable maps in genus zero, delving into advanced mathematical concepts and their applications.
Dispatches from the Ends of the Stability Manifold - Lecture 1
Explore Bridgeland stability conditions and their role in homological structures. Delve into noncommutative minimal model programs and their applications in algebraic geometry.
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.
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.
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.
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.
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.
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.