L-functions Courses and Certifications

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

IMSA

Eigenvarieties and Arithmetic - Connection to L-Functions

Explore eigenvarieties, p-adic automorphic forms, and their connection to L-functions. Discover the local geometry of eigenvarieties and its significance in arithmetic.

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

Centre International de Rencontres Mathématiques

Vanishing of Twisted L-Functions of Elliptic Curves Over Function Fields

Explore vanishing of twisted L-functions for elliptic curves over function fields, focusing on rich characters, Honda Theory, and Legendre Theory in this advanced mathematical discussion.

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

BIMSA

The Orbit Method, Microlocal Analysis and Applications to L-Functions

Explore advanced mathematical techniques connecting orbit methods and microlocal analysis to understand L-functions in modern number theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Additive Twists of Maass Forms L-Functions

Explore additive twists of Maass forms L-functions through advanced mathematical analysis and number theory techniques presented by a leading expert from University of Genova.

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

NCCR SwissMAP

Bloch-Kato Conjecture for Asai L-functions on U(3)

Explore the Bloch-Kato Conjecture for Asai L-functions on U(3) through advanced mathematical research presented by a leading expert in automorphic forms theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

Mathematical Bootstrap - From Conformal Fields to L-Functions

Explore the mathematical bootstrap connecting conformal field theory to number theory, with applications to spectral gaps and L-functions.

• YouTube
• 2 hours 12 minutes
• On-Demand
• Free Video

Harvard CMSA

Machine Learning L-functions - Analyzing Complex Functions in Number Theory

Explore machine learning applications in analyzing L-functions data, focusing on rational and non-rational functions to uncover patterns and predict mathematical invariants in number theory.

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

Harvard CMSA

Functional Analysis Over the Integers, L-Functions and Global Hodge Theory

Delve into advanced mathematical concepts exploring functional analysis over integers, unifying Archimedean and non-Archimedean analysis, with applications to L-functions and global Hodge theory.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Harvard CMSA

Connections Between Special Values of L-Functions and Scattering Amplitudes

Explore the mathematical connections between L-function special values and scattering amplitudes through differential equations, focusing on recent developments in arithmetic quantum field theory.

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

BIMSA

L-Functions, Automorphic Spectra, and the Conformal Bootstrap

Explore the deep connections between L-functions, automorphic spectra, and conformal bootstrap methods in modern mathematical physics.

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

International Centre for Theoretical Sciences

Moments of L-functions - Lecture 3

Delve into advanced analytic number theory with a focus on L-function moments, circle method applications, and their connections to rational points and prime number theory.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

L-functions of Elliptic Curves Over Real Quadratic Fields as Special Values of Automorphic Green's Functions

Delve into advanced number theory concepts exploring L-functions of elliptic curves over real quadratic fields and their relationship to automorphic Green's functions through expert mathematical analysis.

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

International Centre for Theoretical Sciences

Moments of L-functions - Lecture 4

Delve into advanced mathematical concepts of L-functions and their moments, exploring circle method applications in analytic number theory and related theoretical frameworks.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Symptotics of the Second Moment of GL(3) Twisted L-functions

Delve into advanced number theory concepts focusing on GL(3) twisted L-functions, their second moment asymptotics, and applications in the circle method within analytic number theory.

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