Schedule for IAP 2017 Short Course (Not for credit)

Note: classroom locations have changed! See below.

Date Time Location Topic
Monday 1/23/2017 2:30-4 PM E25-117 Invitation: Cohomology for Dummies: Deciphering the world of Pure Math for Applied Mathematicians
Wednesday 1/25/2017 2:30-4 PM E25-111
  • Algebraic structures: groups, rings, fields, modules, algebras.
  • More on cohomology: The basic idea and some metaphors to help you picture it.
  • Algebraic topology:
    • Homology: Programming computers to distinguish donuts from beach balls
    • Homotopy: High-dimensional cowboys and lassos and the wild-west frontier of modern pure mathematics
    • Betti numbers: The algebraic-topology version
    • A glimpse at abstract algebraic geometry
Friday 1/27/2017 2:30-4 PM E25-111 Algebraic geometry:
  • Polynomial rings, ideals, modules, Koszul complex, free resolutions, Hilbert function
  • Betti numbers: The algebraic-geometry version
  • The resultant of several polynomials in several variables
Monday 1/30/2017 2:30-4 PM E25-111 Differential Geometry:
Wednesday 2/1/2017 2:30-4 PM E25-111 Number Theory:
Friday 2/3/2017 2:30-4 PM 6-120 Homological algebra in algebraic geometry: The resultant of multiple polynomials in multiple variables