Analytic number theory | Modular forms | Mathematical series | Fractals
Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with infinite series expansions that may be written down directly. Originally defined for the modular group, Eisenstein series can be generalized in the theory of automorphic forms. (Wikipedia).
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
A11 Eigenvalues with complex numbers
Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
IWASAWA: Lecture 4 - Christopher Skinner
Christopher Skinner Princeton University; Member, School of Mathemtics February 23, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
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
With the eigenvalues for the system known, we move on the the eigenvectors that form part of the set of solutions.
From playlist A Second Course in Differential Equations
Frédéric Naud: Nodal lines and domains for Eisenstein series on surfaces
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Dynamical Systems and Ordinary Differential Equations
What the the eigenvalues repeat? There are two possibilities. In one there is only a single eigenvector and in the other there are more than one. Each scenario leads to a different set of solutions.
From playlist A Second Course in Differential Equations
Changing notation with complex eigenvalues.
From playlist A Second Course in Differential Equations
The Eisenstein Ideal and its Application to W. Stein’s Conjecture....by Kenneth A. Ribet
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Ribet’s Conjecture for Eisenstein Maximal Ideals of Cube-free Level by Debargha Banerjee
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Ken Ribet, Ogg's conjecture for J0(N)
VaNTAGe seminar, May 10, 2022 Licensce: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Mazur: http://www.numdam.org/article/PMIHES_1977__47__33_0.pdf Ogg: https://eudml.org/doc/142069 Stein Thesis: https://wstein.org/thesis/ Stein Book: https://wstein.org/books/modform/s
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Pseudorepresentations and the Eisenstein ideal - Preston Wake
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Pseudorepresentations and the Eisenstein ideal Speaker: Preston Wake Affiliation: University of California, Los Angeles Date: November 9, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Omer Offen: Period integrals of automorphic forms
Recording during the thematic Jean-Morlet Chair - Doctoral school: "Introduction to relative aspects in representation theory, Langlands functoriality and automorphic forms" the May 18, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume H
From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann
Lynne Walling: Understanding quadratic forms on lattices through generalised theta series
Abstract: Siegel introduced generalised theta series to study representation numbers of quadratic forms. Given an integral lattice L with quadratic form q, Siegel’s degree n theta series attached to L has a Fourier expansion supported on n-dimensional lattices, with Fourier coefficients th
From playlist Women at CIRM
Equivariant Eisenstein Classes, Critical Values of Hecke L-Functions.... by Guido Kings
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Erez Lapid - 1/2 Some Perspectives on Eisenstein Series
This is a review of some developments in the theory of Eisenstein series since Corvallis. Erez Lapid (Weizmann Institute)
From playlist 2022 Summer School on the Langlands program
Eisenstein series and the cubic moment for PGL(2) - Paul Nelson
Joint IAS/Princeton University Number Theory Seminar Eisenstein series and the cubic moment for PGL(2) Speaker: Paul Nelson Affiliation: ETH Zürich Date: January 30, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS