Representation theory of Lie groups
In mathematics, the infinitesimal character of an irreducible representation ρ of a semisimple Lie group G on a vector space V is, roughly speaking, a mapping to scalars that encodes the process of first differentiating and then diagonalizing the representation. It therefore is a way of extracting something essential from the representation ρ by two successive linearizations. (Wikipedia).
Calculus 5.2c - Infinitesimals - Archimedes
Infinitesimals, what they are, and their early use by Archimedes. The Archimedes Palimpsest.
From playlist Calculus Chapter 5 (selected videos)
Calculus 2.3a - Rational Functions - Vertical Asymptotes
Using limit notation to describe the behavior of rational functions with vertical asymptotes
From playlist Calculus Chapter 2: Limits (Complete chapter)
Infinite Limit vs Limits at Infinity of a Composite Function
Vertical asymptotes are (finite) values of x where limit of the function tends to either plus or minus infinity on one of the sides. Horizontal asymptotes look at whether the limit as x goes to plus or minute infinity approaches a finite value. In this example we look at a tricky functio
From playlist Calculus I (Limits, Derivative, Integrals) **Full Course**
Solve an equation with a rational term
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
Introductory courses on Arthur packets 6
Wee Teck Gan National University of Singapore, Singapore Hiraku Atobe Hokkaido University, Japan
From playlist Introduction courses to Arthur packets
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
Cohomological representations of real reductive groups by Arvind Nair
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
Learn how to solve a rational expression by multiplying by the LCD
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
Locally algebraic vectors in the p-adic Langlands correspondence - Gabriel Dospinescu
Gabriel Dospinescu Ecole Polytechnique March 24, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
David Ben-Zvi - Between Coherent and Constructible Local Langlands Correspondences
(Joint with Harrison Chen, David Helm and David Nadler.) Refined forms of the local Langlands correspondence seek to relate representations of reductive groups over local fields with sheaves on stacks of Langlands parameters. But what kind of sheaves? Conjectures in the spirit of Kazhdan
From playlist 2022 Summer School on the Langlands program
Galois Representations for Regular Algebraic Cuspidal Automorphic Forms - Richard Taylor
Richard Taylor Institute for Advanced Study November 15, 2012 To any essentially self-dual, regular algebraic (ie cohomological) automorphic representation of GL(n) over a CM field one knows how to associate a compatible system of l-adic representations. These l-adic representations occu
From playlist Mathematics
Cohomological Automorphic Representations on Unitary Groups - Rahul Dalal
Joint IAS/PU Number Theory Seminar Topic: Applications of the Endoscopic Classification to Statistics of Cohomological Automorphic Representations on Unitary Groups Speaker: Rahul Dalal Affiliation: Johns Hopkins University Date: November 03, 2022 Consider the family of automorphic repre
From playlist Mathematics
Nigel Higson: Real reductive groups, K-theory and the Oka principle
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 29.4.2015
From playlist HIM Lectures 2015
Lucas Mason-Brown - Arthur's Conjectures and the Orbit Method for Real Reductive Groups
The most fundamental unsolved problem in the representation theory of Lie groups is the Problem of the Unitary Dual: given a reductive Lie group G, this problem asks for a parameterization of the set of irreducible unitary G-representations. There are two big "philosophies" for approaching
From playlist 2022 Summer School on the Langlands program
Solving a rational equation with two solutions
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds (vt)
We study the noncollapsed singularity formation of Einstein 4-manifolds. We prove that any smooth Einstein 4-manifold close to a singular one in a mere Gromov-Hausdorff (GH) sense is the result of a gluing-perturbation procedure that we develop. This sheds light on the structure of the mod
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Calculus 2.2g - Infinite Limits
Using limit notation to describe vertical asymptotes.
From playlist Calculus Chapter 2: Limits (Complete chapter)