Modularity (networks)

Modular forms: Introduction

This lecture is part of an online graduate course on modular forms. We introduce modular forms, and give several examples of how they were used to solve problems in apparently unrelated areas of mathematics. I will not be following any particular book, but if anyone wants a suggestion

From playlist Modular forms

Modular Functions | Modular Forms; Section 1.1

In this video we introduce the notion of modular functions. My Twitter: https://twitter.com/KristapsBalodi3 Intro (0:00) Weakly Modular Functions (2:10) Factor of Automorphy (8:58) Checking the Generators (15:04) The Nome Map (16:35) Modular Functions (22:10)

From playlist Modular Forms

Modular Forms | Modular Forms; Section 1 2

We define modular forms, and borrow an idea from representation theory to construct some examples. My Twitter: https://twitter.com/KristapsBalodi3 Fourier Theory (0:00) Definition of Modular Forms (8:02) In Search of Modularity (11:38) The Eisenstein Series (18:25)

From playlist Modular Forms

7. Ashley Williams / A brief history and mishistory of modularity

"MAKE IT MODULAR," they said. "IT WILL BE BETTER," they said. Modularity is a term so common in today, that it's easy to uncritically accept it as a fundamental development principle. What does "modularity" actually mean? We will talk through the technical etymology of "modularity" and exa

From playlist ffconf 2016

Discrete Structures: Modular arithmetic

A review of modular arithmetic. Congruent values; addition; multiplication; exponentiation; additive and multiplicative identity.

From playlist Discrete Structures

Modular forms: Eisenstein series

This lecture is part of an online graduate course on modular forms. We give two ways of looking at modular forms: as functions of lattices in C, or as invariant forms. We use this to give two different ways of constructing Eisenstein series. For the other lectures in the course see http

From playlist Modular forms

Modular Arithmetic: Under the Hood

Modular arithmetic visually! For aspiring mathematicians already familiar with modular arithmetic, this video describes how to formalize the concept mathematically: to define the integers modulo n, to define the operations of addition and multiplication, and check that these are well-def

From playlist Modular Arithmetic Visually

Number Theory | Modular Inverses: Example

We give an example of calculating inverses modulo n using two separate strategies.

From playlist Modular Arithmetic and Linear Congruences

Modularity in Weight (1,1,...,1) via Overconvergent Hilbert Modular Forms - Payman Kassaei

Payman Kassaei March 29, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

Networks: Part 4 - Oxford Mathematics 4th Year Student Lecture

Network Science provides generic tools to model and analyse systems in a broad range of disciplines, including biology, computer science and sociology. This course (we are showing the whole course over the next few weeks) aims at providing an introduction to this interdisciplinary field o

From playlist Oxford Mathematics Student Lectures - Networks

CS224W: Machine Learning with Graphs | 2021 | Lecture 13.2 - Network Communities

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3nzmJ6U Jure Leskovec Computer Science, PhD We introduce methods that build on the intuitions presented in the previous part to identify clusters within networks.

From playlist Stanford CS224W: Machine Learning with Graphs

[BOURBAKI 2017] 17/06/2017 - 1/4 - Joseph OESTERLÉ

Densité maximale des empilements de sphères en dimensions 8 et 24 [d'après M. Viazovska et al.] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://t

From playlist BOURBAKI - 2017

Network Science. Lecture13. Community detection

From playlist Network Science. Module 2, 2020

A gentle introduction to network science: Dr Renaud Lambiotte, University of Oxford

The language of networks and graphs has become a ubiquitous tool to analyse systems in domains ranging from biology to physics and from computer science to sociology. Renaud will present important properties observed in real-life networked systems, as well as tools to understand and model

From playlist Data science classes

Networks: Part 7 - Oxford Mathematics 4th Year Student Lecture

Network Science provides generic tools to model and analyse systems in a broad range of disciplines, including biology, computer science and sociology. This course (we are showing the whole course over the next few weeks) aims at providing an introduction to this interdisciplinary field o

From playlist Oxford Mathematics Student Lectures - Networks

Flavio Rusch - Self-organized criticality in hierarchical modular networks...

Self-organized criticality in hierarchical modular networks of Galves-Löcherbach neurons ---------------------------------- Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS http://www.ihp.fr/ Rejoingez les réseaux sociaux de l'IHP pour être au courant de nos actualités :

From playlist Workshop "Workshop on Mathematical Modeling and Statistical Analysis in Neuroscience" - January 31st - February 4th, 2022

Strong community organization of populations can promote ... by Sitabhra Sinha (Part 1)

Games, Epidemics and Behavior URL: http://www.icts.res.in/discussion_meeting/geb2016/ DATES: Monday 27 Jun, 2016 - Friday 01 Jul, 2016 VENUE : Madhava lecture hall, ICTS Bangalore DESCRIPTION: The two main goals of this Discussion Meeting are: 1. To explore the foundations of policy d

From playlist Games, Epidemics and Behavior

Lecture8. Community detection

Network Science 2021 @ HSE

From playlist Network Science, 2021

Strong community organization of populations can promote ... by Sitabhra Sinha (Part 2)

Games, Epidemics and Behavior URL: http://www.icts.res.in/discussion_meeting/geb2016/ DATES: Monday 27 Jun, 2016 - Friday 01 Jul, 2016 VENUE : Madhava lecture hall, ICTS Bangalore DESCRIPTION: The two main goals of this Discussion Meeting are: 1. To explore the foundations of policy d

From playlist Games, Epidemics and Behavior

What is Modular Arithmetic - Introduction to Modular Arithmetic - Cryptography - Lesson 2

Modular Arithmetic is a fundamental component of cryptography. In this video, I explain the basics of modular arithmetic with a few simple examples. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

From playlist Cryptography