2021 Meeting Minutes

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Dates and wording follow the surviving historical record. Entries are newest first.

Homotopy Theory, Differential Topology and Measure Theory

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

Homotopy Theory, Differential Topology and Measure Theory

  • Presentation: Generating Functions 4pm-5pm EST

Homotopy Theory, Differential Topology and Measure Theory

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

Homotopy Theory, Differential Topology and Measure Theory

  • Presentation: Limits, Colimits, and Partitions of Unity

Reading groups: Differential Topology

Homotopy Theory, Differential Topology and Measure Theory

  • Proposition: Switch from Lee to Warner's Foundations of Differentiable Manifolds and Lie Groups
  • DiffT Brief 3 [attachment not recovered]

Reading groups: Differential Topology

Homotopy Theory, Differential Topology and Measure Theory

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

Reading groups: Measure Theory

Homotopy Theory, Differential Topology and Measure Theory

  • Reading/exercise progress check-in 4pm-4:30pm EST
  • Homo Brief 2 [attachment not recovered]
  • Meas Brief 2 [attachment not recovered]
  • DiffT Brief 2 [attachment not recovered]

Reading groups: Homotopy Theory · Measure Theory

Homotopy Theory, Differential Topology and Measure Theory

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

Reading groups: Differential Topology

Homotopy Theory, Differential Topology and Measure Theory

  • 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

Reading groups: Homotopy Theory

Homotopy Theory, Differential Topology and Measure Theory

  • 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 [attachment not recovered]
  • Measure Theory (Cohn) Chapter 1, pg. 1-8 Review: 5:30pm-5:45pm EST
  • Meas Brief 1 [attachment not recovered]
  • Smooth Manifolds (Lee) Chapter 1 introduction: 5:45pm-6:00pm EST
  • DiffT Brief 1 [attachment not recovered]

Reading groups: Homotopy Theory · Differential Topology · Measure Theory

Homotopy Theory, Differential Topology and Measure Theory

  • 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.

Reading groups: Homotopy Theory · Differential Topology · Measure Theory

Homotopy Theory, Differential Topology and Measure Theory

  • 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.

Reading groups: Homotopy Theory · Measure Theory

Homotopy Theory, Differential Topology and Measure Theory

  • 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 [attachment not recovered]
  • Discussed changing meeting platform to Element
  • Announced the addition of Stack Exchange and Fandom Wiki for archival and information sharing purposes.

Homotopy Theory, Differential Topology and Measure Theory

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

Homotopy Theory, Differential Topology and Measure Theory

  • Presentation: Topology, Braids, and mixing of Fluids 4pm-5pm EST
  • Link [attachment not recovered]
  • Noted that many active members are MIA due to various circumstances

Homotopy Theory, Differential Topology and Measure Theory

  • Progress meeting: 4pm-5pm EST

Homotopy Theory, Differential Topology and Measure Theory

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

Homotopy Theory, Differential Topology and Measure Theory

  • 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

Reading groups: Homotopy Theory · Differential Topology

Homotopy Theory, Differential Topology and Measure Theory

  • Presentation: Topological Manifolds 4pm-5pm EST

Reading groups: Differential Topology

Homotopy Theory, Differential Topology and Measure Theory

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

Reading groups: Differential Topology

Abstract Algebra

  • 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

Abstract Algebra

  • 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.

Abstract Algebra

  • Algebra Lecture 3 uploaded on April 7
  • Presentation: Working Man's Math I, Stokes' Problem 4pm-5pm EST
  • Link [attachment not recovered]

Abstract Algebra

  • 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

Abstract Algebra

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

Abstract Algebra

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

Abstract Algebra

Partial entry.

  • General information: 4pm-5pm EST
  • Decided to conclude study of Hall's Lie Algebra book

Lie Algebra

Minutes to come.

Lie Algebra

Minutes to come.

Lie Algebra

Minutes to come.

Lie Algebra

Minutes to come.

Lie Algebra

Minutes to come.