Course Syllabus

Notes and papers available in "Files"

Recordings of some lectures available at "Pages>View All Pages>Recordings of lectures"

Intro (3 lectures)
Homotopy theory (6 lectures)
- $LaTeX: \infty$ -cats
- spectra, $LaTeX: E_\infty$ -ring spectra
- homotopy sheaves, descent
Computational tools (4 lectures)
- K-theory of finite fields, separably closed fields
- THH and TC, cyclotomic trace
- THH and TC of finite fields
Chromatic homotopy theory (5 lectures)
- Adams Novikov spectral sequence
- K(n)- and T(n)- local categories
- Morava E-theories
- chromatic cyclotomic extensions
- T(n)-local K-theory
Even filtration, computations (6 lectures)
- K( $LaTeX: \mathbb{Z}_p$ )
- K(K)
- K(BP<n>)
- K()
Telescope conjecture (4 lectures)