Finite groups | Representation theory
In mathematical representation theory, coherence is a property of sets of characters that allows one to extend an isometry from the degree-zero subspace of a space of characters to the whole space. The general notion of coherence was developed by Feit , as a generalization of the proof by Frobenius of the existence of a Frobenius kernel of a Frobenius group and of the work of Brauer and Suzuki on exceptional characters. , Chapter 3) developed coherence further in the proof of the Feit–Thompson theorem that all groups of odd order are solvable. (Wikipedia).
This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/
From playlist Sets
Set Theory (Part 3): Ordered Pairs and Cartesian Products
Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser
From playlist Set Theory by Mathoma
How to Identify the Elements of a Set | Set Theory
Sets contain elements, and sometimes those elements are sets, intervals, ordered pairs or sequences, or a slew of other objects! When a set is written in roster form, its elements are separated by commas, but some elements may have commas of their own, making it a little difficult at times
From playlist Set Theory
Introduction to sets || Set theory Overview - Part 1
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
Introduction to sets || Set theory Overview - Part 2
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Recursively Defined Sets - An Intro
Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g
From playlist All Things Recursive - with Math and CS Perspective
7A_2 Linear Algebra Definitions
"linear algebra" "matrix equations" "linear set" "set linear equations" linear algebra matrix equation linear set equations "triangular matrix" "square matrix" "main diagonal" homogenous consistent triangular square "elemetary matrix" elementary row echelon reduced
From playlist Linear Algebra
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 2
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 Algebraic and Complex Geometry
David Nadler: Betti Langlands in genus one
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 Algebraic and Complex Geometry
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
Parabolic version of the two realizations theorem and applications to modular... - Ivan Loseu
Geometric and Modular Representation Theory Seminar Topic: Parabolic version of the two realizations theorem and applications to modular representation theory Speaker: Ivan Loseu Affiliation: Yale University; Member, School of Mathematics Date: March 24, 2021 For more video please visit
From playlist Seminar on Geometric and Modular Representation Theory
Semisimple $\mathbb{Q}$-algebras in algebraic combinatorics by Allen Herman
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 11
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
Affine Hecke category and noncommutative Springer resolution - Roman Bezrukavnikov
Geometric and Modular Representation Theory Seminar Topic: Affine Hecke category and noncommutative Springer resolution Speakers: Roman Bezrukavnikov Affiliation: Massachusetts Institute of Technology; Member, School of Mathematics Date: March 17, 2021 For more video please visit http://
From playlist Seminar on Geometric and Modular Representation Theory
Feuding Families and Former Friends: Unsupervised Learning for Dynamic Fictional Relationships
http://www.cs.colorado.edu/~jbg/docs/2016_naacl_relationships.pdf
From playlist Research Talks
Chao Li - 1/2 Geometric and Arithmetic Theta Correspondences
Geometric/arithmetic theta correspondences provide correspondences between automorphic forms and cohomology classes/algebraic cycles on Shimura varieties. I will give an introduction focusing on the example of unitary groups and highlight recent advances in the arithmetic theory (also know
From playlist 2022 Summer School on the Langlands program
Definition of sets, sequences and series How to specify a sequence/series
From playlist Modelling Financial Situations
Hecke category via derived convolution formalism - Dima Arinkin
Geometric and Modular Representation Theory Seminar Topic: Hecke category via derived convolution formalism Speaker: Dima Arinkin Affiliation: University of Wisconsin–Madison Date: December 16, 2020 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory