Meeting Minutes

#### Sat, Mar 5, 2022

* Largo has reached the eastern front, now playing a double-agent between the Russians and the separatists, ohw to Leningrad
* conversation about the exercises
* HW Week3(Chapter 2.5-2.10)

#### Sat, Feb 26, 2022

* Largo trying to hold back the forces in Kharkov, best luck to him!
* no presentation, do your homework >(
* HW Week2(Chapter ..-2.5)

#### Sat, Feb 19, 2022

* Largo still far away
* Functional Analysis and Mechanics (Working Man Math 4) by Abdul
* Link

#### Sat, Feb 12, 2022

* Planned lecture by Largo(missing)
* Free discussion of Chapter 1.1-1.3

#### Sat, Feb 5, 2022

* Meta meeting: voting for new topic and book
	+ Introductory Functional Analysis with Applications by Kreyszig
	+ Pages to read til next Saturday:1-15
	+ HW Week1(Metric spaces)

## Homotopy Theory, Differential Topology and Measure Theory↩

#### Sat, Jan 29, 2022

* Meta meeting: direction of group efforts 4pm-5pm EST

#### Sat, Jan 22, 2022

* Presentation: Working Man's Math III, Dimensional Analysis and the Buckingham Pi Theorem 4pm-5pm EST
* Link

#### Sat, Jan 1, 2022

* Presentation: Inclusion-Exclusion Principle and Generalized Inclusion-Exclusion Principle 4pm-5pm EST

#### Sat, Dec 18, 2021

* Presentation: Generating Functions, Part II 4pm-5pm EST

#### Sat, Dec 4, 2021

* Presentation: Generating Functions 4pm-5pm EST

#### Sat, Nov 6, 2021

* Reading/exercise progress check-in 4pm-4:30pm EST
* Exercise meetings planned to immediately follow weekly meetings (~5-7 pm)

#### Sat, Oct 16, 2021

* Presentation: Limits, Colimits, and Partitions of Unity

#### Sat, Oct 2, 2021

* Proposition: Switch from Lee to Warner's *Foundations of Differentiable Manifolds and Lie Groups*
* DiffT Brief 3

#### Sat, Sep 25, 2021

* Measure Theory Ch. 1 assessment released; "due" Oct 2, 2021

#### Sat, Sep 18, 2021

* Reading/exercise progress check-in 4pm-4:30pm EST
* Homo Brief 2
* Meas Brief 2
* DiffT Brief 2

#### Sat, Sep 4, 2021

* Discussion: different levels of compactness; partitions of unity 4pm-5pm EST
* Sep 11 meeting canceled

#### Sat, Aug 28, 2021

* Week 1 Exercises Review: 4pm-4:25pm EST
	+ Checked progress, determined if pace is appropriate.
		- Amendment: ~10-12 pg/week Homotopy theory
		- Proposition: Exercise meetings for each book in addition to weekly meeting.
* Homotopy Theory (Strom) Chapter 1 Review: 4:25pm-5pm EST

#### Sat, Aug 21, 2021

* Homotopy Theory (Strom) Chapter 1, pg. 1-18 Review: 4pm-5:30pm EST
	+ Categories, functors, and natural transformations
	+ https://www.youtube.com/watch?v=UxYlj-nUjEw
	+ Homo Brief 1
* Measure Theory (Cohn) Chapter 1, pg. 1-8 Review: 5:30pm-5:45pm EST
	+ Meas Brief 1
* Smooth Manifolds (Lee) Chapter 1 introduction: 5:45pm-6:00pm EST
	+ DiffT Brief 1

#### Sat, Aug 14, 2021

* Meta meeting: (re)-introducing homotopy theory, differential topology, and measure theory. 4pm-5pm EST
	+ Homotopy: Strom, ~17-20 pg/week, first 27 chapters (~600 pages)
	+ Diff. Top.: Lee Smooth Manifolds, ~17-20 pg/week, to de Rham theorem (~500-600 pgs)
	+ Measure: Cohn, ~8-10 pg/week, first 7 chapters (~200 pgs)
* Platforms introduced.
* Group studies to formally resume going into next week.

#### Sat, Aug 7, 2021

* Presentation: Hodge Theory: Forms, cohomology, and harmonicity 4pm-5pm EST
	+ Video uploaded August 8
* Announced restart of Homotopy Theory and GTDM, plus the addition of Measure Theory, later in the month
	+ Purpose: use the wiki and Stack Exchange to document progress from the beginning.

#### Sat, July 31, 2021

* Presentation: Working Man's Math II, An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology 4pm-5pm EST
* Link
* Discussed changing meeting platform to Element
* Announced the addition of Stack Exchange and Fandom Wiki for archival and information sharing purposes.

#### Sat, July 24, 2021

* Presentation: MediaWiki and also some results from Partial Differential Equations 4pm-5pm EST

#### Sat, July 10, 2021

* Presentation: Topology, Braids, and mixing of Fluids 4pm-5pm EST
* Link
* Noted that many active members are MIA due to various circumstances

#### Sat, June 5, 2021

* Presentation: Conceptualizing CW Complexes 4pm-5pm EST
	+ Video uploaded same day

#### Sat, May 22, 2021

* Brief introduction for newcomers
* Presentations: 4pm-5pm EST
	+ Modern Classical Homotopy Theory (Strom) Chapter 1 Review
		- Video uploaded same day
	+ Introduction to Topological Manifolds (Lee) Chapters 2 and 3 Review

#### Sat, May 15, 2021

* Presentation: Topological Manifolds 4pm-5pm EST

#### Sat, May 8, 2021

* Point-Set Topology Review: 4pm-5pm EST
* Announced additional study of "geometric theory of differentiable manifolds" (GTDM)

## Abstract Algebra↩

#### Sat, May 1, 2021

* Presentation: Introduction to Groups 4pm-5pm EST
* Voted on interest/need in continuing algebra review
	+ Resolved that no further algebra review was needed
* Voted on interest/need in point-set topology review
	+ Resolved to spend some time reviewing topology

#### Sat, Apr 17, 2021

* Noted that most active participants in the group already have a good working knowledge of abstract algebra.
* Resolved to cover algebra at a significantly faster rate.

#### Sat, Apr 10, 2021

* Algebra Lecture 3 uploaded on April 7
* Presentation: Working Man's Math I, Stokes' Problem 4pm-5pm EST
* Link

#### Sat, Apr 3, 2021

* Algebra Lecture 1 uploaded on March 31
* Algebra Lecture 2 uploaded on April 2
* Endless Eight screening: 12pm-4pm EST
* Discussed chapter questions: 4pm-5pm EST

#### Sat, Mar 27, 2021

* Presentation: Naive Set Theory and Propositional Logic 4pm-5pm

#### Sat, Mar 6, 2021

* Largo announces absence from Saturday meetings for foreseeable future and transition to video lecture format.

#### Sat, Feb 27, 2021

* General information: 4pm-5pm EST
	+ Decided to conclude study of Hall's Lie Algebra book
	+ Held a second vote between Roman's Advanced Linear Algebra, Strom's Modern Classical Homotopy Theory, and Lang's Abstract Algebra.
		- Strom won; announced plans to begin review of abstract algebra using Gallian's Contemporary Abstract Algebra to prepare for homotopy theory.

## Lie Algebra↩

#### Sat, Feb 20, 2021

* General information: 4pm-5pm EST
	+ Discussed options for future topics to study.
		- Held a vote between Clifford algebra, differential topology, functional analysis, commutative algebra, algebra, homotopy theory, advanced linear algebra, Fourier analysis, and high school algebra.
	+ Discussed concluding study of Lie Algebras

#### Sat, Feb 13, 2021

* Lie Algebra (Hall) Chapter 3 Review: 4pm-5pm EST
* Lightning Talk: Gaussian Curvature and the Gauss-Bonnet Theorem

#### Sat, Jan 30, 2021

* Lie Algebra (Hall) Chapter 3 Review: 4pm-5pm EST
* Lightning Talk: Commutative Diagrams and 2-forms 5:00pm-5:15pm EST

#### Sat, Jan 23, 2021

* Lie Algebra (Hall) Chapter 2 Review: 4pm-5pm EST

#### Sat, Jan 16, 2021

* Weekly meetings resume
* Lie Algebra (Hall) Chapter 2 Review: 4pm-5pm EST

#### Sat, Dec 12, 2020

* Presentation: "Smooth Manifolds and the Topology of Matrix Lie Groups" 4pm-5pm EST
* Beginning of Christmas break

#### Sat, Dec 5, 2020

* Lie Algebra (Hall) Chapter 1 Review: 4pm-5pm EST

#### Sat, Nov 21, 2020

* Presentation: "8 Lie Groups": 4pm-5pm EST
* Lightning Talk: The 5/8 Theorem: 5:00pm-5:15pm EST

#### Sat, Nov 14, 2020

* AA introduction for new members
* Presentation: "Clifford Algebras" 4pm-5pm EST
	+ History of Vector Analysis, Dirac Notation, Tensors and Wedges redux, Clifford Products, The Clifford Algebra CL2 and CL3, Multivectors

#### Sat, Nov 7, 2020

* Decided to conclude study of Hatcher's Algebraic Topology
* Announced plans to begin study of Hall's Lie Groups, Lie Algebras, and Representations.
* Study of Advanced Linear Algebra (Roman) and Differential Topology put on hold.

## Algebraic Topology↩

#### Sat, Oct 31, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Oct 24, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Oct 17, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Oct 10, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Oct 3, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Sept 26, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Sept 19, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Sept 12, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Sept 5, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST
* Rorikon (ロリコン) disappeared. We leave it as an exercise to the reader to determine why. RIP - gone but not forgotten.

#### Sat, Aug 29, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Aug 22, 2020

* Algebraic Topology (Hatcher) Chapter 1.1 Review: 4pm-5pm EST

#### Sat, Aug 15, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Aug 8, 2020

* Algebraic Topology (Hatcher) ???: 4pm-5pm EST

#### Sat, Aug 1, 2020

* Algebraic Topology (Hatcher) Chapter 0 Review: 4pm-5pm EST

## Topology and Complex Analysis↩

#### Sat, July 25, 2020

* Abstract Algebra and Quotients Review: 4pm-5pm EST
* Complex Analysis (Lang) Chapter 5 Review: 5pm-6pm EST
* Decided to conclude study of Complex Analysis

#### Sat, July 18, 2020

* Point-Set Topology (Munkres) Chapter 3 Review: 4pm-5pm EST
* Decided to conclude study of Munkres Topology
* Announced plans to begin studying Hatcher's Algebraic Topology
* Complex Analysis (Lang) Chapter 4 and 2.1 Review: 5pm-6pm EST
	+ Path integrals, Cauchy's Theorem and Formula, Functional Norms on Complex Functions, Path Homotopy, Path Homology, Winding Numbers, and Connected Set Topology

#### Sat, July 11, 2020

* Point-Set Topology (Munkres) ???: 4pm-5pm EST
* Complex Analysis (Lang) canceled this week

#### Wed, July 8, 2020

* Complex Analysis (Lang) study session: 4pm-5pm EST
	+ Ch 2, sections 6 and 7; Ch 3, sections 1-7

#### Sat, July 4, 2020

* Point-Set Topology (Munkres) Chapter 2 Review: 4pm-5pm EST
* Complex Analysis (Stein) Chapter 2 Review: 5pm-6pm EST
	+ Decided to switch from Stein to Lang

#### Sat, June 27, 2020

* Point-Set Topology (Munkres) Chapter 1 Review: 4pm-5pm EST
* Complex Analysis (Stein) Chapter 1 Review: 5pm-6pm EST
	+ Inaugural Complex Analysis meeting

#### Tues, June 16, 2020

* Algebraists Anonymous (AA) started as 4chan /sci/ Munkres Topology study group
* Founders:
	+ Shinichi Mochizuki
	+ Rorikon (ロリコン)
* Largo, Johnny, Nikolaj, Shanties, and various others also involved from the beginning.