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#Polynomial Rings

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Abstract Algebra - Polynomial Rings

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Explora el álgebra abstracta con enfoque en anillos polinomiales, algoritmo de división, polinomios irreducibles y criterio de Eisenstein.
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8 Lesons
2 hours 30 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Using Structured Variants in Lattice-Based Cryptography - Lecture 1

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Explorez les variantes structurées en cryptographie post-quantique basée sur les réseaux. Approfondissez les fondements mathématiques et les applications pratiques de cette approche innovante.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - Polynomial Rings

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Explore polynomial rings, their properties, and key theorems, including the proof that R[x] is an integral domain when R is one.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - More Ring Theory Examples

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Explore advanced ring theory concepts, including ideals and homomorphisms in matrix and polynomial rings, with in-depth examples and proofs.
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1 Lesons
40 minutes
On-Demand
Free-Video
Michael Penn

A Commutative Vertex Algebra

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Explore the universal commutative vertex algebra with one generator, demonstrating how to give a polynomial ring vertex algebra structure through an in-depth mathematical analysis.
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1 Lesons
35 minutes
On-Demand
Free-Video
Michael Penn

The Vector Spaces for Vertex Algebras

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Explore key vector spaces for vertex algebras: polynomial rings, exterior algebras with infinite variables, and universal enveloping algebra of the Virasoro Lie algebra. Gain essential understanding for advanced algebraic studies.
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1 Lesons
21 minutes
On-Demand
Free-Video
International Mathematical Union

Neena Gupta- The Zariski Cancellation Problem and Related Problems in Affine Algebraic Geometry

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Explore Zariski Cancellation Problem and related topics in affine algebraic geometry, including Asanuma rings, affine fibration, epimorphism theorems, and notable examples from leading mathematicians.
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12 Lesons
40 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 3

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Explore advanced concepts in algebraic geometry, focusing on complex mathematical theories and their applications in modern mathematics and theoretical physics.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Institute for Advanced Study

Gröbner Objects in Schubert Calculus

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Explore Gröbner objects and their applications in Schubert calculus, delving into advanced algebraic geometry concepts.
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1 Lesons
19 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Free Resolutions of Powers of Square-Free Monomial Ideals

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Explore free resolutions of square-free monomial ideals and their powers, focusing on combinatorial methods and discrete topology. Gain insights into this central problem in commutative algebra.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Frobenius写像の周辺 - 第2回

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Delve into advanced mathematical concepts of Frobenius mappings, finite fields, and Witt vectors through an accessible exploration of number theory fundamentals and polynomial rings.
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6 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Simons Institute

Signatures, Commitments, Zero-Knowledge, and Applications

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Explore lattice-based cryptography, focusing on polynomial rings, homomorphic encryption, and zero-knowledge proofs. Learn about theoretical foundations and practical applications in modern cryptographic systems.
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16 Lesons
1 hour 39 minutes
On-Demand
Free-Video
IEEE

Implementing Conjunction Obfuscation under Entropic Ring LWE

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Explore secure program obfuscation implementation for conjunction programs, addressing practicality challenges and achieving significant performance improvements in obfuscation and evaluation runtimes.
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1 Lesons
20 minutes
On-Demand
Free-Video
TheIACR

One Shot Verifiable Encryption from Lattices

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Explore lattice-based cryptography with a focus on one-shot verifiable encryption, covering zero-knowledge proofs, Ring-LWE encryption, and practical applications in this cutting-edge research presentation.
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12 Lesons
25 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Uniqueness of Splitting Fields

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Explore the concept of uniqueness in splitting fields, examining their properties and significance in abstract algebra.
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1 Lesons
15 minutes
On-Demand
Free-Video