Toric Geometry Courses and Certifications

Centre International de Rencontres Mathématiques

A Singular Path Through Toric Geometry

Delve into Bernard Teissier's contributions to singularities, toric geometry, and valuations through an expert analysis of his mathematical work and its significance in the field.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Institute for Advanced Study

A Toric Case of the Thomas-Yau Conjecture

Explore the Thomas-Yau conjecture for Lagrangian sections in Calabi-Yau fibrations, proving equivalence between Hamiltonian isotopy and stability conditions via Fukaya-Seidel categories.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Positive m-Divisible Non-crossing Partitions and Their Cyclic Sieving

Delve into geometric interpretations of Kreweras lattice embeddings and their connections to toric geometry, exploring non-crossing partitions through algebraic combinatorics and cohomology rings.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Non-crossing Partitions, Equivariant Cohomology, and Polynomials

Explore geometric interpretations of non-crossing partitions through toric geometry, examining connections between Kreweras lattice, flag variety cohomology, and algebraic combinatorics.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Fields Institute

Introduction to Reflexive Polytopes in Algebraic Geometry

Explore the mathematical concept of reflexive polytopes through an advanced seminar examining their properties, characteristics, and significance in algebraic geometry.

• YouTube
• 1 hour
• On-Demand
• Free Video

IMSA

Deformations and Mutations of Affine Gorenstein Toric Varieties

Explore the correspondence between one-parameter deformations of affine Gorenstein toric varieties and mutations of Laurent polynomials with Newton polytopes.

• YouTube
• 54 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 57 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 53 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 53 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Fields Institute

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.

• YouTube
• 39 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 58 minutes
• On-Demand
• Free Video

IMSA

Cluster Varieties, Toric Degenerations and Convexity in Algebraic Geometry

Explore the geometric approach to cluster varieties, examining toric degenerations and convexity principles in relation to minimal models and the Gross-Siebert mirror symmetry program.

• YouTube
• 57 minutes
• On-Demand
• Free Video

IMSA

Carlos A. Ruiz, UNAM - Quantum Toric Geometry, Generalized Geometries & O-Minimality Conference

Explore advanced mathematical concepts in quantum toric geometry, generalized geometries, and o-minimality with expert Carlos A. Ruiz from UNAM in this in-depth conference presentation.

• YouTube
• 55 minutes
• On-Demand
• Free Video

IMSA

Quantum Toric Geometry, Generalized Geometries & O-Minimality Conference

Explore advanced mathematical concepts in quantum toric geometry, generalized geometries, and o-minimality with expert Carlos A. Ruiz from UNAM in this conference presentation.

• YouTube
• 52 minutes
• On-Demand
• Free Video