Nonrational Toric Geometry III - Quasifolds, Foliations, Combinatorics and One-parameter Families
Explores nonrational toric geometry through quasifolds, foliations, and combinatorics, extending classical toric geometry to new contexts and examining one-parameter families of toric quasifolds.
Nonrational Toric Geometry I - Symplectic Toric Quasifolds Minicourse
Explore symplectic toric quasifolds, generalizing toric varieties to non-rational polytopes. Learn about quasilattices, quasirationality, and quasitori through examples like quasispheres and Penrose tilings.
A Categorical Interpretation of the GKZ D-Module
Explore the categorical interpretation of GKZ D-modules in toric homological mirror symmetry, focusing on B-side categories and characteristic cycle strata.
Homotopy Path Algebras
Explore Homotopy Path Algebras and their applications in algebraic topology, sheaf theory, and toric geometry. Discover connections to homological mirror symmetry and recent developments in the field.
Cluster Algebras and Mirror Symmetry - Lecture 2
Explore connections between cluster algebras and mirror symmetry in algebraic geometry, delving into advanced mathematical concepts and their applications.
The Worst 1-Parameter Subgroup for Toric Curve Singularities
Explore the intricacies of toric curve singularities and their worst 1-parameter subgroups in this advanced mathematical talk by Dave Swinarski from Fordham University.
Vector-valued Laurent Polynomial Equations, Toric Vector Bundles and Matroids
Explore connections between Laurent polynomials, toric vector bundles, and matroids in algebraic geometry and topology with expert Kiumars Kaveh.
Toric Matroid Bundles - Algebraic Geometry and Combinatorics
Explore toric matroid bundles with Christopher Manon, delving into advanced mathematical concepts and their applications in toric topology and geometry.
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.
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.
Geometry and Integers - Connections Between Number Theory and Geometric Structures
Explore connections between non-negative integer sets and diverse geometries, examining functions associated with primitive integer vectors and their relation to convex, toric, and birational geometries.
Cox Rings of Algebraic Surfaces
Explore Cox rings of algebraic surfaces in this panoramic talk by Michela Artebani, part of the V Latin American School of Algebraic Geometry. Gain insights into advanced algebraic geometry concepts.
Ernesto Lupercio- Quantum Toric Geometry Pt. II
Explores quantum toric geometry, generalizing toric geometry with moduli spaces. Advanced mathematical concepts for researchers in algebraic topology, geometry, and mathematical physics.
Hodge Numbers in Quantum Toric Geometry
Explore Quantum Toric Geometry and its impact on Hodge numbers in non-algebraic complex manifolds. Discover enriched perspectives in this collaborative research presentation.
Hodge Structures and Quantum Toric Geometry
Explore Quantum Toric Geometry and its impact on Hodge Theory generalizations in this advanced mathematics colloquium, featuring insights from collaborative research in non-commutative spaces.
Classification of Some Open Toric Domains
Delve into advanced symplectic geometry, exploring the classification of open toric domains in R4 and their symplectomorphic properties through S1-equivariant symplectic homology analysis.