Analytic number theory | Modular forms | Special functions | Representation theory of Lie groups
In mathematics, the simplest real analytic Eisenstein series is a special function of two variables. It is used in the representation theory of SL(2,R) and in analytic number theory. It is closely related to the Epstein zeta function. There are many generalizations associated to more complicated groups. (Wikipedia).
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
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
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Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
10A An Introduction to Eigenvalues and Eigenvectors
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From playlist Linear Algebra
In this video we discuss the concept of eigenvalues and eigenvectors of a matrix. We show that an eigenvector has the property that when it is operated on by the matrix, the resulting output vector is a scaled version of the input vector (it is scaled by the eigenvalue). We discuss how t
From playlist Linear Algebra
Set Theory (Part 18): The Rational Numbers are Countably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a
From playlist Set Theory by Mathoma
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
Mod-01 Lec-35 Eigenvalues and Eigenvectors
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Arithmetic statistics of modular symbols by Morten Risager
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
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
Siegel modular forms: Classical and adelic aspects by Ameya Pitale
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
Eisenstein Series on Exceptional Groups, Graviton Scattering Amplitudes... - Stephen Miller
Stephen D. Miller Rutgers, The State University of New Jersey May 3, 2012 For more videos, 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
Erez Lapid - 2/2 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
Explicit formulae for Stark Units and Hilbert's 12th problem - Samit Dasgupta
Joint IAS/Princeton University Number Theory Seminar Topic: Explicit formulae for Stark Units and Hilbert's 12th problem Speaker: Samit Dasgupta Affiliation: Duke University Date: October 11, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Introduction to Modular Forms - Part 2 of 8
“Introduction to Modular Forms,” by Keith Conrad. Topics include Eisenstein series and q-expansions, applications to sums of squares and zeta-values, Hecke operators, eigenforms, and the L-function of a modular form. This is a video from CTNT, the Connecticut Summer School in Number Theor
From playlist CTNT 2016 - "Introduction to Modular Forms" by Keith Conrad
Real eigenvalues and eigenvectors | Lecture 33 | Matrix Algebra for Engineers
Finding distinct real eigenvalues of a 2x2 matrix. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation
From playlist Matrix Algebra for Engineers
Singular moduli for real quadratic fields - Jan Vonk
Joint IAS/Princeton University Number Theory Seminar Topic: Singular moduli for real quadratic fields Speaker: Jan Vonk Affiliation: Oxford University Date: April 4, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Concluding Remarks - Peter Sarnak
Automorphic Forms Peter Sarnak Institute for Advanced Study April 7, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorph
From playlist Mathematics
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