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#Laurent Polynomials

Showing: 11 courses
Michael Penn

The Witt Algebra

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Explore the Witt Algebra, a crucial algebraic structure. Learn about Laurent polynomials, derivations, and proof by induction in this comprehensive mathematical exploration.
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7 Lesons
37 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Atsushi Takahashi, Osaka University

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Exploring generalized root systems of type D, constructing Frobenius manifolds, and examining their potential applications in algebraic geometry and mathematical physics.
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12 Lesons
51 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Maxim Kontsevich Pt. III

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Explore advanced algebraic concepts with Maxim Kontsevich, focusing on Getzler-Gauss-Manin connections for non-commutative algebras and their applications in quantum mathematics.
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13 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Higher Chow Cycles Arising from Some Laurent Polynomials

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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.
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1 Lesons
1 hour 1 minute
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
ICTP Mathematics

Cluster Algebras and Mirror Symmetry - Lecture 1

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Explore the intricate connection between cluster algebras and mirror symmetry in mathematics, delving into advanced concepts and their applications in algebraic geometry.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Insights into Mathematics

Arithmetic with Negative Multisets and Integral Polynumbers - Math Foundations 232

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Explores advanced arithmetic using negative msets and anti-objects, introducing integral polynumbers and Laurent polynomials in a pure algebraic context, revolutionizing traditional algebra understanding.
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8 Lesons
40 minutes
On-Demand
Free-Video
Fields Institute

Vector Valued Laurent Polynomial Equations in Torus

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Explore vector-valued Laurent polynomial equations in torus with Askold Khovanskii, delving into advanced mathematical concepts and their applications.
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1 Lesons
1 hour
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
Institut des Hautes Etudes Scientifiques (IHES)

Outliers of Perturbations of Banded Toeplitz Matrices

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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.
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1 Lesons
54 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Functoriality for Fukaya Categories of Very Affine Hypersurfaces

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Explore functoriality in Fukaya categories of very affine hypersurfaces, examining acceleration and restriction functors, gluings of Liouville sectors, and connections to mirror symmetry.
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4 Lesons
1 hour 3 minutes
On-Demand
Free-Video