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
This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)
From playlist Summer of Math Exposition Youtube Videos
This is lecture 1 of an online mathematics course on group theory. This lecture defines groups and gives a few examples of them.
From playlist Group theory
A group is (in a sense) the simplest structure in which we can do the familiar tasks associated with "algebra." First, in this video, we review the definition of a group.
From playlist Modern Algebra - Chapter 15 (groups)
An Introduction To Group Theory
I hope you enjoyed this brief introduction to group theory and abstract algebra. If you'd like to learn more about undergraduate maths and physics make sure to subscribe!
From playlist All Videos
Related videos: Stack intro: https://youtu.be/L3ud3rXpIxA Stack implementation: https://youtu.be/RAMqDLI6_1c Data Structures Source Code: https://github.com/williamfiset/data-structures My website: http://www.williamfiset.com
From playlist Stack data structure playlist
Data structures: Introduction to stack
See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described stack data structure as abstract data type. Lesson on Dynamic memory allocation: http://www.youtube.com/watch?v=_8-ht2AKyH4 For practic
From playlist Data structures
What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups. In a fundamental way, groups are structures built from s
From playlist Abstract Algebra
This is lecture 5 of an online mathematics course on group theory. It classifies groups of order 4 and gives several examples of products of groups.
From playlist Group theory
David Rydh. Local structure of algebraic stacks and applications
Abstract: Some natural moduli problems, such as moduli of sheaves and moduli of singular curves, give rise to stacks with infinite stabilizers that are not known to be quotient stacks. The local structure theorem states that many stacks locally look like the quotient of a scheme by the act
From playlist CORONA GS
Moduli Stacks of Galois Representations by Mathew Emerton
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
CTNT 2020 - Stacky curves in characteristic p - Andrew Kobin
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Hitchin type moduli stacks in automorphic representation theory – Zhiwei Yun – ICM2018
Lie Theory and Generalizations | Algebraic and Complex Geometry Invited Lecture 7.10 | 4.16 Hitchin type moduli stacks in automorphic representation theory Zhiwei Yun Abstract: In the study of automorphic representations over a function field, Hitchin moduli stack and its variants natura
From playlist Algebraic & Complex Geometry
A stacky approach to crystalline (and prismatic) cohomology - Vladimir Drinfeld
Joint IAS/Princeton University Number Theory Seminar Topic: A stacky approach to crystalline (and prismatic) cohomology Speaker: Vladimir Drinfeld Affiliation: The University of Chicago; Visiting Professor, School of Mathematics Date: October 3, 2019 For more video please visit http://vi
From playlist Mathematics
Matthew Emerton - 3/4 An Introduction to the Categorical p-adic Langlands (...)
An introduction to the ``categorical'' approach to the p-adic Langlands program, in both the ``Banach'' and ``analytic'' settings. Matthew Emerton (Chicago Univ.) Toby Gee (Imperial College) Eugen Hellman (Univ. Münster)
From playlist 2022 Summer School on the Langlands program
Cong Xue - 1/2 Cohomology Sheaves of Stacks of Shtukas
Cohomology sheaves and cohomology groups of stacks of shtukas are used in the Langlands program for function fields. We will explain (1) how the Eichler-Shimura relations imply the finiteness property of the cohomology groups, (2) how the finiteness and Drinfeld's lemma imply the action of
From playlist 2022 Summer School on the Langlands program
L. Meersseman - Kuranishi and Teichmüller
Abstract - Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes every small deformation of X. The Teichmüller space is a topological space formed by the classes of compact complex manifolds diffeomorphic to X up to biholomorphisms smoothly isotop
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Sam Gunningham: Character stacks and (q−)geometric representation theory
Abstract: I will discuss applications of geometric representation theory to topological and quantum invariants of character stacks. In particular, I will explain how generalized Springer correspondence for class D-modules and Koszul duality for Hecke categories encode surprising structure
From playlist Algebraic and Complex Geometry
Visual Group Theory, Lecture 1.4: Group presentations
Visual Group Theory, Lecture 1.4: Group presentations We begin this lecture by learning how to take a Cayley diagram and label its nodes with the elements of a group. Such a labeled diagram can function as a "group calculator". It leads to the notion of a "group presentation", which is a
From playlist Visual Group Theory
Bhargav Bhatt - The absolute prismatic site
Correction: The affiliation of Lei Fu is Tsinghua University. The absolute prismatic site of a p-adic formal scheme carries and organizes interesting arithmetic and geometric information attached to the formal scheme. In this talk, after recalling the definition of this site, I will discu
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021