Representation theory of Lie groups
In mathematics, the Langlands classification is a description of the irreducible representations of a reductive Lie group G, suggested by Robert Langlands (1973). There are two slightly different versions of the Langlands classification. One of these describes the irreducible admissible (g,K)-modules,for g a Lie algebra of a reductive Lie group G, with maximal compact subgroup K, in terms of tempered representations of smaller groups. The tempered representations were in turn classified by Anthony Knapp and Gregg Zuckerman. The other version of the Langlands classification divides the irreducible representations into L-packets, and classifies the L-packets in terms of certain homomorphisms of the Weil group of R or C into the Langlands dual group. (Wikipedia).
We give a buttload of definitions for morphisms on various categories of complexes. The derived category of an abelian category is a category whose objects are cochain complexes and whose morphisms I describe in this video.
From playlist Derived Categories
Biological Classification of Hierarchy || #Shorts || Deveeka Ma'am || Infinity Learn Class 9&10
Biological classification is the scientific method of organizing and categorizing living organisms based on shared characteristics. This system allows us to study the diversity of life on Earth and understand how different species are related to one another. The hierarchy of biological cla
From playlist Shorts
How Are Organisms Classified? | Evolution | Biology | FuseSchool
In terms of biological classification, organisms are classified, or grouped, with other organisms that they are most closely related to. These small groups are then classified together into larger groups and so on, until we reach the top level of classification which places organisms in
From playlist BIOLOGY: Evolution
History of Auld Lang Syne | National Geographic
The soundtrack to the ball drop and midnight kisses, "Auld Lang Syne" is the quintessential New Years song. Learn how this Scottish poem became a holiday tradition, what the lyrics mean, and how the instantly recognizable melody has shifted over the years. ➡ Subscribe: http://bit.ly/NatGeo
From playlist News | National Geographic
The Coolest Stuff on the Planet- What's so mighty about the Mekong?
The Mekong River is often referred to as "mighty" for a very good reason: This massive river system winds its way through six countries in Southeast Asia and is full of giant creatures. Matt and Rachel take you cruising down the river in this episode.
From playlist The Coolest Stuff on the Planet
Valley of the Boom: Trailer #1 | National Geographic
Valley of the Boom explores the dot-com era during Silicon Valley’s unprecedented tech boom of the 1990s and subsequent bust. The six-part limited series, tells the wildly true stories of the epic browser wars and the companies that shaped the internet. ➡ Subscribe: http://bit.ly/NatGeoSu
From playlist News | National Geographic
How Does the Earth Create Different Landforms? Crash Course Geography #20
Cliffs and canyons, beaches and dunes, floodplains and river valleys, plateaus and mountains — these are all products of a restless Earth. In today’s episode we’re going to take a closer look at how landforms greatly influence how people live and derive meaning and a sense of place. From t
From playlist Geography
James Arthur: The Langlands program: arithmetic, geometry and analysis
Abstract: As the Abel Prize citation points out, the Langlands program represents a grand unified theory of mathematics. We shall try to explain in elementary terms what this means. We shall describe an age old question concerning the arithmetic prime numbers, together with a profound gene
From playlist Abel Lectures
What Is A Species? | Evolution | Biology | FuseSchool
Carl Linnaeus classified all living things into groups based upon their physical features. His system placed organisms with the most similar characteristics together in a group he called the “species”. A species is defined as all organisms that are able to breed with one another, and mos
From playlist BIOLOGY: Evolution
Quantization in modular setting, and its applications - Roman Travkin
Short Talks by Postdoctoral Members Roman Travkin - September 30, 2015 http://www.math.ias.edu/calendar/event/88334/1443637800/1443638700 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
Colin Bushnell - Simple characters and ramification
Let F be a non-Archimedean local field of residual characteristic p. For anyinteger n more than 1, one has the detailed classification of the irreducible cuspidal representations of GLn(F) from Bushnell- Kutzko. I report on the most recent phase of a joint programme with Guy Henniart inves
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
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
Olivier Taïbi - 1/3 The Local Langlands Conjecture
We formulate the local Langlands conjecture for connected reductive groups over local fields, including the internal parametrization of L-packets. Olivier Taïbi (ENS Lyon)
From playlist 2022 Summer School on the Langlands program
Supercuspidal representations of GL(n) over a p-adic field (Lecture - 04) by Vincent Sécherre
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
Olivier Taïbi - 2/3 The Local Langlands Conjecture
We formulate the local Langlands conjecture for connected reductive groups over local fields, including the internal parametrization of L-packets. Olivier Taïbi (ENS Lyon)
From playlist 2022 Summer School on the Langlands program
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 17
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence
Equivariant principal bundle over toric variety by Arijit Dey
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
The Abel Prize announcement 2018 - Robert Langlands
0:52 Introduction by Alex Bellos, British writer, and science communicator 2:26 The Abel Prize announced by Ole Sejersted, President of The Norwegian Academy of Science and Letters 1:38 Citation by John Rognes, Chair of the Abel committee 7:18 Popular presentation of the prize winners work
From playlist The Abel Prize announcements
Special Topics - GPS (1 of 100) The GPS Constellation
Visit http://ilectureonline.com for more math and science lectures! In this video I will overview the content of the GPS (Global Positioning System) and explain the GPS constellation. Next video in this series can be seen at: https://youtu.be/Cwr6oLdWvJQ
From playlist SPECIAL TOPICS 2 - GPS