The Universe Speaks in Numbers - Robbert Dijkgraaf and Edward Witten in Conversation
Renowned physicists discuss the interplay between physics and mathematics, exploring their potential unification and the quest for fundamental laws of the universe.
Galois, Grothendieck and Voevodsky - George Shabat
Explore the mathematical legacies of Galois, Grothendieck, and Voevodsky, focusing on their contributions to group theory, algebraic geometry, and category theory, with insights into dessins d'enfants and Belyi pairs.
Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang
Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.
A Derived Hecke Algebra in the Context of the Mod P Langlands Program - Rachel Ollivier
Explore derived Hecke algebras in mod p Langlands program, covering super singular modules, involution, trace maps, and twisted duals with Rachel Ollivier.
On Dynamics of Lorenz Maps - Renormalizations and Invariant Sets
Explore the dynamics of Lorenz maps, focusing on renormalizations and invariant sets. Delve into piecewise monotone interval maps, their connections to number theory, and fractal geometry.
Sequências Recorrentes
Explore os fundamentos e aplicações das sequências recorrentes na matemática pura, desde conceitos básicos até análises avançadas de padrões e relações numéricas.
Ecuaciones Diofantinas con Pocas Soluciones - Lecture 4
Explora teoremas y aplicaciones en ecuaciones diofantinas, incluyendo el teorema de Faltings para curvas y ejemplos prácticos, profundizando en la teoría de números.
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.
AGRA IV - Diophantine Equations with Few Solutions - Lecture 5
Exploración avanzada de ecuaciones diofantinas con énfasis en casos con soluciones limitadas, presentada por el experto Hector Pasten de la PUC, Chile.
Ecuaciones Diofantinas con Pocas Soluciones - Lecture 3
Explora ecuaciones diofantinas con pocas soluciones, profundizando en conceptos avanzados de teoría de números y álgebra abstracta.
Ecuaciones Diofantinas con Pocas Soluciones - Lecture 1
Exploración de ecuaciones diofantinas con soluciones limitadas, enfocándose en técnicas avanzadas para analizar y resolver problemas en teoría de números.
Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2, Lecture 1
Exploración de superficies racionales sobre cuerpos: conceptos fundamentales y aplicaciones en geometría algebraica y teoría de números.
Vortrag "Wo steht die mathematische Forschung?"
Einblick in aktuelle mathematische Forschung anhand der Riemannschen Vermutung. Experten erläutern zentrale Ideen und Fortschritte der letzten 100 Jahre zu diesem berühmten ungelösten Millenniumsproblem.
Vortrag "Was lehrt uns die Geschichte über mathematische Probleme?"
Historische Perspektive auf ungelöste mathematische Probleme: Einblicke in die Entwicklung und Bedeutung der Millennium-Probleme, insbesondere der Riemannschen Vermutung, für Laien und Mathematikinteressierte.
Sind Primzahlen dem Zufall unterworfen?
Einführung in die faszinierende Welt der Arithmetik und die Riemannsche Vermutung. Erläuterung der Bedeutung von Primzahlen und ihrer Verteilung, sowie die Relevanz dieses Millenniumsproblems für die Mathematik und darüber hinaus.
Learn All Type of Number Programs in Python - Palindrome, Strong, Prime, Pronic, Perfect, Spy, etc.
Comprehensive tutorial on various number types in Python, covering 25 different concepts including Armstrong, palindrome, prime, and more. Ideal for mastering number manipulation and algorithms.
C Program to Find Prime Numbers
Learn efficient methods for primality testing in C programming, including various algorithms and optimizations to determine if a given number is prime.
Discrete Mathematics Fundamentals - A Comprehensive 4-Hour Course in Hindi
Comprehensive overview of discrete mathematics concepts, including set theory, logic, graph theory, and number theory, explained in Hindi for engineering students.
Iterated Beta Integrals - Generalizing Hyperlogarithms and Beta Integrals
Explore iterated beta integrals, generalizing hyperlogarithms and beta integrals. Discover translation invariance property, yielding equalities between special values and resolving conjectures in mathematics.
Fonctions sphéroïdales et triplets spectraux
Explorez la construction de triplets spectraux à partir de l'opérateur différentiel W, reproduisant les comportements des zéros de zeta dans l'infrarouge et l'ultraviolet.
Paires de Hecke et K-théorie
Explorez les paires de Hecke en théorie des nombres, leur lien avec la géométrie à grande échelle et les applications aux conjectures de Baum-Connes et Novikov. Découvrez les avancées en K-théorie des C*-algèbres de Hecke.