kyle ormsby

spring 2023

math 546 · manifolds

Lie groups and Lie algebras, vector fields, flows, and the Lie derivative.

teaching assistant
Alex Waugh
textbook
Introduction to Smooth Manifolds
syllabus
Course Information & Syllabus
problem session
Tu 13:30-14:20 in THO 217
office hours
W 12:30-13:30 with Alex in C-132, Th 15-16 (and by appointment) with Kyle in C-442

Students are strongly encouraged to typeset their work in . You can get started easily with Overleaf. To facilitate your typesetting, for (nearly) all URL's on this site ending in .pdf, you can change the suffix to .tex to access the source code.

jump to this week ↓31 meetings

week 127 March - 31 March
mon mar 27
wed mar 29
fri mar 31
  • Group actions and equivariance
  • readingpp. 161–170
  • notesnotes
  • recordingrecording
  • noteHomework due: none
week 23 April - 7 April
mon apr 3
wed apr 5
fri apr 7
week 310 April - 14 April
mon apr 10
  • Integral curves and flows
  • readingpp. 205–216
  • notesnotes
  • recordingrecording
wed apr 12
fri apr 14
week 417 April - 21 April
mon apr 17
wed apr 19
fri apr 21
week 524 April - 28 April
mon apr 24
wed apr 26
fri apr 28
week 61 May - 5 May
mon may 1
  • Orientations
  • readingpp. 377–387
  • notesnotes
  • recordingrecording
  • noteTake-home exam distributed
wed may 3
  • Orientations and covering maps
  • readingpp. 392–396
  • notesnotes
  • recordingrecording
fri may 5
  • Integration of differential forms
  • readingpp. 400–410
  • notesnotes
  • recordingrecording
  • noteTake-home exam due
week 78 May - 12 May
mon may 8
wed may 10
fri may 12
week 815 May - 19 May
mon may 15
wed may 17
fri may 19
week 922 May - 26 May
mon may 22
wed may 24
  • The tangent-cotangent isomorphism
  • readingpp. 337–343
fri may 26
week 1029 May - 2 June
mon may 29no class
  • Memorial Day, no class
wed may 31review
fri jun 2review
  • Review
  • recordingrecording
  • noteHomework due: none.
finals week5 June - 9 June