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University of Chicago Department of Mathematics
The Weil Conjectures and A1-homotopy Theory
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Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.
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1
Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)
Fonctions sphéroïdales et triplets spectraux
0
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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.
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1
Lesons
1 hour 10 minutes
On-Demand
Free-Video
Institut Henri Poincaré
Les fréquences de l'Univers
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Explorez le lien fascinant entre la courbure géométrique et les objets quantiques, reliant la relativité générale au monde quantique à travers une formule mathématique captivante.
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1
Lesons
44 minutes
On-Demand
Free-Video
CIMPA UCR
Sumabilidad y Regularización en Física Matemática
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Explora métodos de sumabilidad para series divergentes y su aplicación en la regularización de problemas en física matemática utilizando funciones zeta.
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1
Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques
Galois Representations and Statistics - Lecture 1
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Explore Galois representations and statistics in arithmetic through an advanced mathematical lecture by René Schoof.
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1
Lesons
1 hour
On-Demand
Free-Video
Centre International de Rencontres Mathématiques
Subconvexity of L-functions - Part 2
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Explore advanced concepts in subconvexity of L-functions through an in-depth mathematical lecture by Philippe Michel, expanding on previous discussions.
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1
Lesons
1 hour 28 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial
Riemann Hypothesis and the DeBruijn-Newman Constant
0
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Delve into advanced mathematical concepts exploring the Riemann Hypothesis and DeBruijn-Newman constant through expert analysis of their properties, relationships, and significance in number theory.
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1
Lesons
1 hour 7 minutes
On-Demand
Free-Video
ICTP Mathematics
Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art
0
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Explore zeta functions, L-functions, and Galois representations in geometric objects, focusing on plane projective curves and their conjectured relationships with analytic functions.
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10
Lesons
55 minutes
On-Demand
Free-Video
International Mathematical Union
The Distribution of Values of Zeta and L-Functions
0
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Explore the intricate world of zeta and L-functions, delving into their value distribution patterns and mathematical implications with renowned number theorist Kannan Soundararajan.
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1
Lesons
1 hour 30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics
James Maynard: Half-Isolated Zeros and Zero-Density Estimates
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Innovative method for detecting zeta function zeros, improving classical zero density results and providing insights into prime number distribution in short intervals.
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1
Lesons
1 hour 14 minutes
On-Demand
Free-Video
Fields Institute
Some Research Problems in Number Theory
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Explore intriguing research problems in number theory with Ram Murty, delving into advanced mathematical concepts and unsolved questions in this fascinating field.
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1
Lesons
43 minutes
On-Demand
Free-Video
Fields Institute
Moments of Artin-Schreier L-functions
0
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Explore the mathematical intricacies of Artin-Schreier L-functions and their moments in this advanced Fields Institute lecture by Matilde Lalín from Université de Montréal.
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1
Lesons
38 minutes
On-Demand
Free-Video
Insights into Mathematics
Euler's Product for the Zeta Function via Box Arithmetic - Part 2
0
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Explores connections between Box Arithmetic and Number Theory, focusing on Euler's product formula for the Zeta function and its variants, including the sum of reciprocal squares of natural numbers.
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1
Lesons
31 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics
Frobenius Structure and p-adic Zeta Function
0
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Explore p-adic Frobenius structures in differential equations, their connection to algebraic geometry, and their relation to p-adic zeta values in hypersurface families.
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1
Lesons
1 hour 4 minutes
On-Demand
Free-Video
Wolfram
Computational Number Theory in the Modern World
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Explore modern computational number theory, covering primes, factorization, divisibility, congruence, and advanced topics like analytic and additive number theory.
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17
Lesons
26 minutes
On-Demand
Free-Video
Wolfram
A Family of Rational Zeta Series
0
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Explore close formulas for computing rational zeta series, featuring unique insights not reproducible by current software.
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1
Lesons
14 minutes
On-Demand
Free-Video
Galileo Galilei Institute
Motivic Galois Theory of Algebraic Mellin Transforms
0
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Explore the intricate connections between algebraic geometry and number theory through the lens of motivic Galois theory and Mellin transforms.
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1
Lesons
41 minutes
On-Demand
Free-Video
Galileo Galilei Institute
Scalar Modular Bootstrap and Zeros of the Zeta Function
0
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Explore connections between modular bootstrap techniques and the Riemann zeta function's zeros, delving into mathematical physics and number theory.
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1
Lesons
52 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques
Zeta Functions of Shimura Varieties: Past, Present, and the Near Future
0
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Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
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1
Lesons
1 hour 1 minute
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences
Higher Algebra and Arithmetic - Rothschild Lecture
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Explore higher algebra's impact on arithmetic, examining how counting processes influence number theory and cohomology, with applications in geometry and zeta functions.
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1
Lesons
1 hour 6 minutes
On-Demand
Free-Video
NCCR SwissMAP
Zeta Functions for Anosov Diffeomorphisms, Flows and Actions
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Explore analytic techniques in dynamics and geometry, focusing on zeta functions for Anosov diffeomorphisms, flows, and actions.
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1
Lesons
56 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)
Modular Forms and Differential Equations: Connections and Applications
0
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Explore connections between modular forms and differential equations, from historical origins to modern applications in mathematics and physics.
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1
Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques
Computing Euler Factors of Curves
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Explore computational methods for determining Euler factors of curves in arithmetic geometry, focusing on advanced mathematical techniques and applications.
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1
Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques
Frobenius Distributions - Lecture 1
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Explore Frobenius distributions in arithmetic statistics through an advanced mathematical lecture by Kiran Kedlaya at CIRM's Spring School.
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1
Lesons
50 minutes
On-Demand
Free-Video
Institut Henri Poincaré
Crystalline Measures and Zeta Functions
0
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Explorez les liens entre mesures cristallines et fonctions zêta, en examinant leurs propriétés et relations avec la fonction zêta de Riemann.
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1
Lesons
37 minutes
On-Demand
Free-Video
Banach Center
Analytic Methods in Arithmetic
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Explore advanced analytic techniques in arithmetic, focusing on their applications and theoretical foundations in number theory.
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1
Lesons
1 hour 21 minutes
On-Demand
Free-Video
Banach Center
Mathematical Grand Unification
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Explore the concept of mathematical grand unification through a thought-provoking lecture by Bartosz Naskręcki, delving into conjectures and potential connections across mathematical fields.
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1
Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM
What is an L-function? - An Introduction to Zeta and L-functions in Number Theory
0
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Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.
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1
Lesons
1 hour
On-Demand
Free-Video
BIMSA
The Langlands Project - Connecting Automorphic Forms and Number Theory
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Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
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1
Lesons
56 minutes
On-Demand
Free-Video
BIMSA
Symplectomorphism Invariants of Open Domains
0
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Explore symplectomorphism invariants of open domains, focusing on zeta functions, Reeb dynamics, and equivariant symplectic homology to distinguish toric domains.
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1
Lesons
1 hour 4 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics
Spectral Gaps of Random Covers of Hyperbolic Surfaces
0
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Explore spectral gaps in random hyperbolic surfaces, including Laplacian resonances and a probabilistic version of Selberg's 3/16 theorem, using transfer operators and zeta functions.
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1
Lesons
1 hour 4 minutes
On-Demand
Free-Video
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