Certain Polytopes Associated to Algebraic Integer Conjugates
Explore the fascinating world of algebraic number theory in this 40-minute Fields Number Theory Seminar presented by Samprit Ghosh from the University of Calgary. Delve into the intriguing relationship between certain polytopes and algebraic integer conj…
Standard and Less Standard Asymptotic Methods - Lecture 3
Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.
Using Structured Variants in Lattice-Based Cryptography - Lecture 1
Explorez les variantes structurées en cryptographie post-quantique basée sur les réseaux. Approfondissez les fondements mathématiques et les applications pratiques de cette approche innovante.
Using Structured Variants in Lattice-Based Cryptography - Lecture 2
Explorez les variantes structurées en cryptographie sur réseaux. Approfondissez les concepts avancés et leurs applications dans ce domaine mathématique complexe.
Galois Representations and Statistics - Lecture 1
Explore Galois representations and statistics in arithmetic through an advanced mathematical lecture by René Schoof.
Class Field Theory Standpoint and Its Three Fundamental Generalisations - Lecture 2
Delve into advanced class field theory concepts, exploring Takagi's existence theory, Mochizuki's IUT theory, and modern perspectives on Langlands program and anabelian geometry.
Algebraic Number Theory and Rings I - Math History - NJ Wildberger
Explore algebraic number theory and rings, focusing on extension fields, Gaussian integers, and the development of abstract ring theory in 19th-century mathematics.
From Knots to Number Theory II
Explore connections between quantum knot invariants and number theory, covering topics like hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Two Mathematicians, Their Work and Career Experiences - Radhika Ganapathy and Purvi Gupta
Explore cyclotomic fields in number theory and convexity in complex analysis through lectures by two accomplished mathematicians, offering insights into their research and career experiences.
From Knots to Number Theory I
Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Bounds on the Number of Generators of Prime Ideals
Explore prime ideals and their generators, focusing on mathematical bounds and theoretical implications in algebraic geometry and commutative algebra.
Algebraic Number Theory and Rings - Math History II
Explores 19th-century algebraic number theory, focusing on extension fields, abstract rings, and algebraic integers. Discusses Gaussian integers, unique factorization, and foundational challenges in the field.
The Genus of Division Algebras Over Discrete Valued Fields
Exploration of division algebras over discrete valued fields, focusing on their genus. Covers advanced algebraic concepts and their applications in number theory and field theory.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 2
Explore advanced topics in linear groups and Diophantine approximation, focusing on bounded generation and its applications in number theory and geometric analysis.
Hasse Principle for Reductive Groups over P-Adic Function Fields
Explore the Hasse Principle for reductive groups over p-adic function fields in this advanced mathematics lecture by Raman Parimala, part of a program on Zariski dense subgroups and number theory.
Central Extensions of Arithmetic Lattices by Matthew Stover
Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.
Conjugacy Width in Higher Rank Arithmetic Groups of Orthogonal Type by Chen Meiri
Explore conjugacy width in higher rank arithmetic groups of orthogonal type, examining its properties and implications for group theory and related mathematical fields.
On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated
Explore the Hasse Principle for reductive algebraic groups over finitely generated fields, delving into advanced number theory and algebraic geometry concepts.
Some Research Problems in Number Theory
Explore intriguing research problems in number theory with Ram Murty, delving into advanced mathematical concepts and unsolved questions in this fascinating field.
The ABC Conjecture in Number Theory
Explore the ABC conjecture with insights from Prof. M. Ram Murty, presented by Hector Pasten Vasquez. Gain a deeper understanding of this fundamental mathematical concept.
Artin's Primitive Root Conjecture
Explore Artin's primitive root conjecture with Kumar Murty, delving into its mathematical significance and implications for number theory and algebraic structures.