Automorphic forms | Theorems in number theory
In mathematics, the local trace formula is a local analogue of the Arthur–Selberg trace formula that describes the character of the representation of G(F) on the discrete part of L2(G(F)), for G a reductive algebraic group over a local field F. (Wikipedia).
Use Traces of a Surface to Select the Equation of the Surface (Ex 2)
This video explains how to determine the traces of function of two variables and then match given traces to the correct function. http://mathispower4u.com
From playlist Functions of Several Variables
Use Traces of a Surface to Select the Equation of the Surface (Ex1)
This video explains how to determine the traces of function of two variables and then match given traces to the correct function. http://mathispower4u.com
From playlist Functions of Several Variables
ʕ•ᴥ•ʔ Quickly Find the Distance Between 2 Points using the Distance Formula
Quickly master how to quickly find the distance between two points using the distance formula. Watch more lessons like this and try our practice at https://www.studypug.com/algebra-1/coordinate-graphs/linear-function-distance-formula In this lesson, we will learn how to use the distance
From playlist Algebra
Ex: Find the Trace and Determinant of a 3x3 Matrix Using Eigenvalues
This video explains how to determine the trace and determinant of a 3x3 matrix using eigenvalues. http://mathispower4u.com
From playlist Eigenvalues and Eigenvectors
This video show how to use the distance formula to determine the distance between two points. It also shows how it is derived from the Pythagorean theorem. http://mathispower4u.yolasite.com/
From playlist Using the Distance Formula / Midpoint Formula
Example: Determine the Distance Between Two Points
This video shows an example of determining the length of a segment on the coordinate plane by using the distance formula. Complete Video List: http://www.mathispower4u.yolasite.com or http://www.mathispower4u.wordpress.com
From playlist Using the Distance Formula / Midpoint Formula
Use the midpoint formula to find the endpoint when given the midpoint ex 2
👉 In this playlist, you will learn what the distance and midpoint formulas are and how to apply them. The distance formula is derived from the Pythagorean theorem given the coordinates of two points. We will use the distance and midpoint formula to not only determine the distance and mid
From playlist Find the End Point of the Line Segment
Trace of an Operator and of a Matrix
Trace of an operator defined to be the sum of the eigenvalues (or of the eigenvalues of the complexification), repeated according to multiplicity. Trace of a matrix defined to be the sum of the squares of the diagonal enties. The connection between these two notions of trace.
From playlist Linear Algebra Done Right
Tasho Kaletha - 1/2 A Brief Introduction to the Trace Formula and its Stabilization
We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom
From playlist 2022 Summer School on the Langlands program
Yiannis Sakellaridis - 2/2 Local and Global Questions “Beyond Endoscopy”
The near-completion of the program of endoscopy poses the question of what lies next. These talks will take a broad view of ideas beyond the program of endoscopy, highlighting the connections among them, and emphasizing the relationship between local and global aspects. Central among thos
From playlist 2022 Summer School on the Langlands program
Yiannis Sakellaridis - 1/2 Local and Global Questions “Beyond Endoscopy”
The near-completion of the program of endoscopy poses the question of what lies next. These talks will take a broad view of ideas beyond the program of endoscopy, highlighting the connections among them, and emphasizing the relationship between local and global aspects. Central among thos
From playlist 2022 Summer School on the Langlands program
Wein-Wei Li: Full stable trace formula for the group Mp(2n)
CIRM VIRTUAL EVENT Recorded during the meeting "Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy the May 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by w
From playlist Virtual Conference
On the Comparison of Trace Formulas - Jim Arthur
Jim Arthur University of Toronto April 28, 2011 GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR We shall recall the spectral terms from the trace formula for G and its stabilaization, as well as corresponding terms from the twisted trace formula for GL(N). We shall then discuss aspec
From playlist Mathematics
James Arthur - Zeta functions and orbital integrals
We shall review the work of Z. Yun on zeta functions of orders, and of A. Altug on elliptic terms in the trace formula for GL(2). We shall then study the problem of Poisson summation for general linear groups. A suitable solution would be an important step in Langlands' proposed reformula
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Omer Offen : The relative trace formula
Recording during the thematic Jean-Morlet Chair - Doctoral school: "Introduction to relative aspects in representation theory, Langlands functoriality and automorphic forms" the May 19, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume H
From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann
[BOURBAKI 2018] 13/01/2018 - 2/4 - Raphaël BEUZART-PLESSIS
Progrès récents sur les conjectures de Gan-Gross-Prasad [d'après Jacquet-Rallis, Waldspurger, W. Zhang, etc.] Les conjectures de Gan-Gross-Prasad ont deux aspects: localement elles décrivent de façon explicite certaines lois de branchements entre représentations de groupes de Lie réels ou
From playlist BOURBAKI - 2018
"Introduction to p-adic harmonic analysis" James Arthur, University of Toronto [2008]
James Arthur, University of Toronto Introduction to harmonic analysis on p-adic groups Tuesday Aug 12, 2008 11:00 - 12:00 The stable trace formula, automorphic forms, and Galois representations Video taken from: http://www.birs.ca/events/2008/summer-schools/08ss045/videos/watch/200808121
From playlist Mathematics
Werner Muller - Asymptotics of automorphic spectra and the trace formula
December 18, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. In this talk I will discuss the asymptotic behaviour of the discrete (resp. cuspidal) spectrum of arithmetic groups with respect to the growth of various parameters such
From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday
Describe Traces of Quadric Surfaces: x = 1 Trace of an Paraboloid
This video explain how to describe and determine the equation of a trace of an paraboloid. The trace is also shown graphically.
From playlist Functions of Several Variables