Group Theory: The Simple Group of Order 168 - Part 1
We present two realizations of the simple group of order 168. In part 1, we count the number of matrices in PSL(2,Z/7) and SL(3,Z/2).
From playlist *** The Good Stuff ***
Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra
Normal subgroups are a powerful tool for creating factor groups (also called quotient groups). In this video we introduce the concept of a coset, talk about which subgroups are “normal” subgroups, and show when the collection of cosets can be treated as a group of their own. As a motivat
From playlist Abstract Algebra
Simple Groups - Abstract Algebra
Simple groups are the building blocks of finite groups. After decades of hard work, mathematicians have finally classified all finite simple groups. Today we talk about why simple groups are so important, and then cover the four main classes of simple groups: cyclic groups of prime order
From playlist Abstract Algebra
The Special Linear Group is a Subgroup of the General Linear Group Proof
The Special Linear Group is a Subgroup of the General Linear Group Proof
From playlist Abstract Algebra
Abstract Algebra | Normal Subgroups
We give the definition of a normal subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Group Theory: The Center of a Group G is a Subgroup of G Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Theory: The Center of a Group G is a Subgroup of G Proof
From playlist Abstract Algebra
Abstract Algebra - 9.2 Factor Groups
Closely related to our study on normal subgroups, we now look at factor groups (aka quotient groups). These are groups created by partitioning a group according to a subgroup. We essentially divide the group by the subgroup, thus the name! Video Chapters: Intro 0:00 Recall a Normal Subgro
From playlist Abstract Algebra - Entire Course
Groups of Prime Order p are Cyclic with p-1 Generators Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Groups of Prime Order p are Cyclic with p-1 Generators Proof. In this video we prove that if G is a finite group whose order is a prime number p, then G is cyclic and every non identity element is a generator. Since G has p-1 non id
From playlist Abstract Algebra
Visual Group Thoery, Lecture 5.5: p-groups
Visual Group Thoery, Lecture 5.5: p-groups Before we can introduce the Sylow theorems, we need to develop some theory about groups of prime power order, which we call p-groups. In this lecture, we show that the number of fixed point of a p-group acting on a set S is congruent modulo p to
From playlist Visual Group Theory
Purity for the Brauer group of singular schemes - Česnavičius - Workshop 2 - CEB T2 2019
Kęstutis Česnavičius (Université Paris-Sud) / 27.06.2019 Purity for the Brauer group of singular schemes For regular Noetherian schemes, the cohomological Brauer group is insensitive to removing a closed subscheme of codimension ≥ 2. I will discuss the corresponding statement for scheme
From playlist 2019 - T2 - Reinventing rational points
A stable arithmetic regularity lemma in finite (...) - C. Terry - Workshop 1 - CEB T1 2018
Caroline Terry (Maryland) / 01.02.2018 A stable arithmetic regularity lemma in finite-dimensional vector spaces over fields of prime order In this talk we present a stable version of the arithmetic regularity lemma for vector spaces over fields of prime order. The arithmetic regularity l
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Parahoric Subgroups and Supercuspidal Representations of p-Adic groups - Dick Gross
Dick Gross Harvard University December 9, 2010 This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is th
From playlist Mathematics
"Introduction to p-adic harmonic analysis" James Arthur, University of Toronto [2008]
James Arthur, University of Toronto Introduction to harmonic analysis on p-adic groups Tuesday Aug 12, 2008 11:00 - 12:00 The stable trace formula, automorphic forms, and Galois representations Video taken from: http://www.birs.ca/events/2008/summer-schools/08ss045/videos/watch/200808121
From playlist Mathematics
Regular supercuspidal representations - Tasho Kaletha
Beyond Endoscopy Topic: Regular supercuspidal representations Speaker: Tasho Kaletha, University of Toronto Date: Oct 01, 2016 Time/Room: 3:00pm-3:50pm/s-101 For more videos, visit http://video.ias.edu
From playlist Mathematics
Purity for flat cohomology by Kestutis Cesnavicius
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
John Greenlees: The singularity category of C^*(BG) for a finite group G
SMRI Algebra and Geometry Online John Greenlees (Warwick University) Abstract: The cohomology ring H^*(BG) (with coefficients in a field k of characteristic p) is a very special graded commutative ring, but this comes out much more clearly if one uses the cochains C^*(BG), which can be vi
From playlist SMRI Algebra and Geometry Online
Iwasawa theory of the fine Selmer groups of Galois representations by Sujatha Ramdorai
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
EDIT: At 14:39, notation should be written pi_I:G maps to Bij(G/H). Then we can talk about Ker pi_I as a subgroup of G. Abstract Algebra: We consider the left regular action of G on the set X = G. We prove Cayley's Theorem, that every group is isomorphic to a subgroup of a symmetric g
From playlist Abstract Algebra
Michael Rapoport: The arithmetic transfer conjecture for exotic formal moduli spaces
I will define some formal moduli spaces of p-divisible groups that can be used to formulate an extension of Wei Zhang's Arithmetic Fundamental Lemma conjecture beyond the unramified case. The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometr
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Group theory 22: Symmetric groups
This lecture is part of an online mathematics course on group theory. It covers the basic theory of symmetric and alternating groups, in particular their conjugacy classes.
From playlist Group theory