Zeta Functions Courses and Certifications

International Centre for Theoretical Sciences

Representation Zeta Functions à la Weil

Delve into representation zeta functions and their role in algebraic counting problems, exploring Euler product decompositions and applications in asymptotic group theory and ring theory.

• YouTube
• 55 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Zeta Functions and Applications to Twisted Conjugacy

Delve into zeta functions in enumerative algebra, exploring their applications to twisted conjugacy and their role in algebraic counting problems through expert insights and mathematical analysis.

• YouTube
• 32 minutes
• On-Demand
• Free Video

International Mathematical Union

The Distribution of Values of Zeta and L-Functions

Explore the intricate world of zeta and L-functions, delving into their value distribution patterns and mathematical implications with renowned number theorist Kannan Soundararajan.

• YouTube
• 1 hour 30 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

Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.

• YouTube
• 1 hour
• On-Demand
• Free Video

Institut Henri Poincaré

Crystalline Measures and Zeta Functions

Explorez les liens entre mesures cristallines et fonctions zêta, en examinant leurs propriétés et relations avec la fonction zêta de Riemann.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Zeta Functions of Shimura Varieties: Past, Present, and the Near Future

Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

NCCR SwissMAP

Zeta Functions for Anosov Diffeomorphisms, Flows and Actions

Explore analytic techniques in dynamics and geometry, focusing on zeta functions for Anosov diffeomorphisms, flows, and actions.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

p-adic Motives and Special Values of Zeta Functions

Explore unconditional formulation and proof of Artin-Tate conjectures for zeta functions using $F$-Gauges theory and stable Bockstein characteristics in algebraic geometry.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Johannes Brödel- From Elliptic Multiple Zeta Values to Modular Graph Functions

Explore the connection between elliptic multiple zeta values and modular graph functions in this advanced mathematics lecture by Johannes Brödel.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

BIMSA

Large Values of Zeta and Dirichlet L-Functions - ICBS 2024

Explore large values of Riemann zeta and Dirichlet L-functions on the critical line, uncovering key insights in analytic number theory.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Wolfram

Zeta Functions - From Riemann to Feynman

Explore zeta functions from Riemann to Feynman, covering harmonic numbers, polylogarithms, and their applications in number theory, combinatorics, and Feynman integrals with Wolfram tools.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Master special functions through Wolfram Language: gamma, zeta, Bessel, Airy functions, orthogonal polynomials, hypergeometric functions, and advanced topics for math, physics, and engineering.

• Wolfram U
• 6 hours
• On-Demand
• Free Certificate

Insights into Mathematics

Infinite Series in 17th and 18th Century Mathematics

Explore the historical development of infinite series, from geometric series to complex exponentials, with insights into key mathematicians and groundbreaking formulas of the 17th and 18th centuries.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Incidence Algebras

Explore incidence algebras, their properties, and applications in combinatorial mathematics and order theory.

• YouTube
• 19 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

James Maynard: Half-Isolated Zeros and Zero-Density Estimates

Innovative method for detecting zeta function zeros, improving classical zero density results and providing insights into prime number distribution in short intervals.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video