Automorphic forms | Langlands program
In mathematics, endoscopic groups of reductive algebraic groups were introduced by Robert Langlands in his work on the stable trace formula. Roughly speaking, an endoscopic group H of G is a quasi-split group whose L-group is the connected component of the centralizer of a semisimple element of the L-group of G. In the stable trace formula, unstable orbital integrals on a group G correspond to stable orbital integrals on its endoscopic groups H. The relation between them is given by the fundamental lemma. (Wikipedia).
Abstract Algebra | The dihedral group
We present the group of symmetries of a regular n-gon, that is the dihedral group D_n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
What are Functional Groups? | Biology | Biochemistry
In biological molecules, the carbon skeleton determines their general 3D shape. But what’s on the surface of the molecules determines their chemical behavior. Small chemical species, hanging off the exterior of these molecules, bump into each other and react. These are known as FUNCTIONAL
From playlist Biology
Now, a look at the principles of the function of the esophagus
From playlist Acute Care Surgery
In this continuing look at the management of acute surgical conditions of the esophagus we take a look at the anatomy of the esophagus.
From playlist Acute Care Surgery
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
First video on the esophagus in the series for acute care surgery.
From playlist Acute Care Surgery
Chemical Reactions (6 of 11) Quick Review 5 Types of Chemical Reactions
Gives a quickened easy overview of the five types of chemical reactions. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons in the forming and b
From playlist Chemical Reactions and Stoichiometry
Endoscopy theory for symplectic and orthogonal similitude groups - Bin Xu
Bin Xu Member, School of Mathematics January 29, 2015 The endoscopy theory provides a large class of examples of Langlands functoriality, and it also plays an important role in the classification of automorphic forms. The central part of this theory are some conjectural identities of Hari
From playlist Mathematics
Bertrand Lemaire - Transfert géométrique et blocs de Bernstein...
Transfert géométrique et blocs de Bernstein des séries principales de niveau zéro (avec Manish Mishra) On s'intéresse ici à une situation endoscopique très particulière, issue du travail de Roche sur les séries principales de niveau zéro d'un groupe réductif connexe déployé
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
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
Periodic Table Part 7: Chalcogens (O, S, Se, Te, Po, Lv)
It's time to check out Group 16 on the periodic table, the chalcogens. This includes oxygen, sulfur, selenium, tellurium, polonium, and livermorium. What can we say about their properties, reactivities, and applications? Let's find out! Watch the whole Inorganic/Organometallic Chemistry p
From playlist Inorganic/Organometallic Chemistry
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
Endoscopic Transfer of Depth-Zero Suprcuspidal L-Packets - Tasho Kaletha
Endoscopic Transfer of Depth-Zero Suprcuspidal L-Packets - Tasho Kaletha Princeton University; Member, School of Mathematics November 18, 2010 In a recent paper, DeBacker and Reeder have constructed a piece of the local Langlands correspondence for pure inner forms of unramified p-adic gr
From playlist Mathematics
Introductory courses on Arthur packets 5
Wee Teck Gan National University of Singapore, Singapore Hiraku Atobe Hokkaido University, Japan
From playlist Introduction courses to Arthur packets
Talk by Rahul Dalal (University of California, Berkeley, USA)
Statistics of Automorphic Representations Through the Stable Trace Formula
From playlist Seminars: Representation Theory and Number Theory
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
Tasho Kaletha - 2/2 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
Endoscopy and cohomology growth on unitary groups - Simon Marshall
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Endoscopy and cohomology growth on unitary groups Speaker: Simon Marshall Affiliation: University of Wisconsin; Member, School of Mathematics Date: March 9, 2018 For more videos, please visit http://video.
From playlist Mathematics
Dihedral Group (Abstract Algebra)
The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo
From playlist Abstract Algebra