Laurent Polynomials Courses and Certifications

IMSA

Higher Chow Cycles Arising from Some Laurent Polynomials

Exploration of higher Chow cycles from Laurent polynomials, focusing on Apéry constants in Fano threefolds and cubic fourfolds with planes, connecting to mirror symmetry and rationality problems.

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

Michael Penn

The Witt Algebra

Explore the Witt Algebra, a crucial algebraic structure. Learn about Laurent polynomials, derivations, and proof by induction in this comprehensive mathematical exploration.

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

Insights into Mathematics

Arithmetic with Negative Multisets and Integral Polynumbers - Math Foundations 232

Explores advanced arithmetic using negative msets and anti-objects, introducing integral polynumbers and Laurent polynomials in a pure algebraic context, revolutionizing traditional algebra understanding.

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

ICTP Mathematics

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.

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

ICTP Mathematics

Cluster Algebras and Mirror Symmetry - Lecture 1

Explore the intricate connection between cluster algebras and mirror symmetry in mathematics, delving into advanced concepts and their applications in algebraic geometry.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Atsushi Takahashi, Osaka University

Exploring generalized root systems of type D, constructing Frobenius manifolds, and examining their potential applications in algebraic geometry and mathematical physics.

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

IMSA

Homological Mirror Symmetry - Maxim Kontsevich Pt. III

Explore advanced algebraic concepts with Maxim Kontsevich, focusing on Getzler-Gauss-Manin connections for non-commutative algebras and their applications in quantum mathematics.

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

Institut des Hautes Etudes Scientifiques (IHES)

Outliers of Perturbations of Banded Toeplitz Matrices

Explore outlier eigenvalues of perturbed banded Toeplitz matrices, focusing on their behavior in regions outside the limiting spectral distribution's support as matrix size increases.

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

Fields Institute

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.

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

IMSA

Smoothing Gorenstein Toric Singularities and Mirror Symmetry

Explore the relationship between toric variety deformations and Laurent polynomial mutations, focusing on smoothing Gorenstein singularities and their applications in mirror symmetry theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Smoothing Toroidal Crossing Fano Varieties Using Log Structures

Delve into advanced algebraic geometry concepts exploring the construction of log smooth Fano varieties from reflexive polytopes, focusing on smoothing techniques and log structure applications in manifold construction.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Harvard CMSA

Homotopy Classes of Loops of Clifford Unitaries

Delve into advanced quantum theory concepts exploring Clifford locality-preserving unitaries, stabilizer Hamiltonians, and their homotopy classifications through Hermitian K-theory analysis.

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

Fields Institute

Vector Valued Laurent Polynomial Equations in Torus

Explore vector-valued Laurent polynomial equations in torus with Askold Khovanskii, delving into advanced mathematical concepts and their applications.

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

Western Hemisphere Virtual Symplectic Seminar

Functoriality for Fukaya Categories of Very Affine Hypersurfaces

Explore functoriality in Fukaya categories of very affine hypersurfaces, examining acceleration and restriction functors, gluings of Liouville sectors, and connections to mirror symmetry.

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

BIMSA

Quantization of Landau-Ginzburg Models

Explore the geometry of Landau-Ginzburg models and their role in mirror symmetry, covering quantization theory, topological field theories, and the LG/CY correspondence conjecture.

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