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#Toric Geometry

Showing: 16 courses
IMSA

Nonrational Toric Geometry III - Quasifolds, Foliations, Combinatorics and One-parameter Families

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Explores nonrational toric geometry through quasifolds, foliations, and combinatorics, extending classical toric geometry to new contexts and examining one-parameter families of toric quasifolds.
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23 Lesons
53 minutes
On-Demand
Free-Video
IMSA

Nonrational Toric Geometry I - Symplectic Toric Quasifolds Minicourse

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Explore symplectic toric quasifolds, generalizing toric varieties to non-rational polytopes. Learn about quasilattices, quasirationality, and quasitori through examples like quasispheres and Penrose tilings.
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28 Lesons
53 minutes
On-Demand
Free-Video
IMSA

A Categorical Interpretation of the GKZ D-Module

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Explore the categorical interpretation of GKZ D-modules in toric homological mirror symmetry, focusing on B-side categories and characteristic cycle strata.
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16 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Homotopy Path Algebras

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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.
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1 Lesons
54 minutes
On-Demand
Free-Video
ICTP Mathematics

Cluster Algebras and Mirror Symmetry - Lecture 2

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Explore connections between cluster algebras and mirror symmetry in algebraic geometry, delving into advanced mathematical concepts and their applications.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

The Worst 1-Parameter Subgroup for Toric Curve Singularities

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Explore the intricacies of toric curve singularities and their worst 1-parameter subgroups in this advanced mathematical talk by Dave Swinarski from Fordham University.
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1 Lesons
22 minutes
On-Demand
Free-Video
Fields Institute

Vector-valued Laurent Polynomial Equations, Toric Vector Bundles and Matroids

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Explore connections between Laurent polynomials, toric vector bundles, and matroids in algebraic geometry and topology with expert Kiumars Kaveh.
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1 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

Toric Matroid Bundles - Algebraic Geometry and Combinatorics

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Explore toric matroid bundles with Christopher Manon, delving into advanced mathematical concepts and their applications in toric topology and geometry.
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1 Lesons
39 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

The K-theoretic DT/PT Vertex Correspondence

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Explore K-theoretic DT/PT vertex correspondence on toric 3- and 4-folds, examining equivariant wall-crossing, symmetrized pullbacks, and applications to related conjectures.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Structural Features of 3D Mirror Symmetry

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Explore homological 3d mirror symmetry, its equivalences, and applications in toric settings. Uncover connections to hypertoric Koszul duality and Tate's thesis.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
BIMSA

Geometry and Integers - Connections Between Number Theory and Geometric Structures

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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.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Cox Rings of Algebraic Surfaces

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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.
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1 Lesons
47 minutes
On-Demand
Free-Video
IMSA

Ernesto Lupercio- Quantum Toric Geometry Pt. II

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Explores quantum toric geometry, generalizing toric geometry with moduli spaces. Advanced mathematical concepts for researchers in algebraic topology, geometry, and mathematical physics.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Hodge Numbers in Quantum Toric Geometry

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Explore Quantum Toric Geometry and its impact on Hodge numbers in non-algebraic complex manifolds. Discover enriched perspectives in this collaborative research presentation.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Hodge Structures and Quantum Toric Geometry

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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.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Advanced Study

Classification of Some Open Toric Domains

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Delve into advanced symplectic geometry, exploring the classification of open toric domains in R4 and their symplectomorphic properties through S1-equivariant symplectic homology analysis.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video