Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
The idea of a quotient group follows easily from cosets and Lagrange's theorem. In this video, we start with a normal subgroup and develop the idea of a quotient group, by viewing each coset (together with the normal subgroup) as individual mathematical objects in a set. This set, under
From playlist Abstract algebra
Visual Group Theory, Lecture 3.5: Quotient groups
Visual Group Theory, Lecture 3.5: Quotient groups Like how a direct product can be thought of as a way to "multiply" two groups, a quotient is a way to "divide" a group by one of its subgroups. We start by defining this in terms of collapsing Cayley diagrams, until we get a conjecture abo
From playlist Visual Group Theory
What is a difference quotient? How to find a difference quotient. Deriving it from the rise over run formula.
From playlist Calculus
Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.
From playlist Abstract algebra
Abstract Algebra | Quotient Groups
We introduce the notion of a quotient group and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
algebraic geometry 13 Three examples of quotients
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers three examples of quotients by groups: a cyclic quotient singularity, the parameter space of cyclohexane, and the moduli space of elliptic curves. Correction: o
From playlist Algebraic geometry I: Varieties
Simplify an expression by applying quotient rule of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
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
The local-global principle for stacky curves - Poonen - Workshop 1 - CEB T2 2019
Bjorn Poonen (Massachusetts Institute of Technology) / 22.05.2019 The local-global principle for stacky curves For smooth projective curves of genus g over a number field, the local-global principle holds when g = 0 and can fail for g = 1, as has been known since the 1940s. Stacky curve
From playlist 2019 - T2 - Reinventing rational points
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
Difference Quotient - How to Simplify (3 Types)
Learn how to simplify the difference quotient in this video math tutorial by Mario's Math Tutoring. We go through 3 examples: one involving fractions, another square roots, and the third one is a quadratic function. We also discuss how if you take the difference quotient one step further
From playlist Difference Quotient & Derivatives
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
Vincent LAFFORGUE - Stacks of Shtukas and spectral decompositions
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
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)
The integral coefficient geometric Satake equivalence in mixed characteristic - Jize Yu
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The integral coefficient geometric Satake equivalence in mixed characteristic Speaker: Jize Yu Affiliation: Member, School of Mathematics Date: November 16, 2020 For more video please visit http://video.ias
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Strong approximation for the Markoff equation via nonabelian level structures...- William Chen
Joint IAS/Princeton University Number Theory Seminar Topic: Strong approximation for the Markoff equation via nonabelian level structures on elliptic curves Speaker: William Chen Affiliation: Columbia University Date: November 5, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Beyond geometric invariant theory 2: Good moduli spaces, and applications by Daniel Halpern-Leistner
DISCUSSION MEETING: MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE: 10 February 2020 to 14 February 2020 VENUE: Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classifying
From playlist Moduli Of Bundles And Related Structures 2020
PreCalculus | Finding the difference quotient: Example 3
We present a few examples of calculating the difference quotient. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist PreCalculus
Moduli of Representations and Pseudorepresentations - Carl Wang Erickson
Carl Wang Erickson Harvard University May 2, 2013 A continuous representation of a profinite group induces a continuous pseudorepresentation, where a pseudorepresentation is the data of the characteristic polynomial coefficients. We discuss the geometry of the resulting map from the moduli
From playlist Mathematics