$
\newcommand\A{\mathrm{A}}
\newcommand\C{\mathrm{C}}
\newcommand\D{\mathrm{D}}
\newcommand\E{\mathrm{E}}
\newcommand\F{\mathrm{F}}
\newcommand\G{\mathrm{G}}
\newcommand\H{\mathrm{H}}
\newcommand\h{\mathrm{h}}
\newcommand\K{\mathrm{K}}
\newcommand\L{\mathrm{L}}
\newcommand\M{\mathrm{M}}
\newcommand\t{\mathrm{t}}
\newcommand{\bA}{\mathbf{A}}
\newcommand{\bF}{\mathbf{F}}
\newcommand{\bG}{\mathbf{G}}
\newcommand{\bH}{\mathbf{H}}
\newcommand{\bT}{\mathbf{T}}
\newcommand{\bW}{\mathbf{W}}
\newcommand{\Gm}{\bG_m}
\newcommand\Ascr{\mathcal{A}}
\newcommand\Cscr{\mathcal{C}}
\newcommand\Dscr{\mathcal{D}}
\newcommand\Escr{\mathcal{E}}
\newcommand\Kscr{\mathcal{K}}
\newcommand\Lscr{\mathcal{L}}
\newcommand\Oscr{\mathcal{O}}
\newcommand\Perfscr{\mathcal{P}\mathrm{erf}}
\newcommand\Acscr{\mathcal{A}\mathrm{c}}
\newcommand\heart{\heartsuit}
\newcommand\cn{\mathrm{cn}}
\newcommand\op{\mathrm{op}}
\newcommand\gr{\mathrm{gr}}
\newcommand\Gr{\mathrm{Gr}}
\newcommand\fil{\mathrm{fil}}
\newcommand\Ho{\mathrm{Ho}}
\newcommand\dR{\mathrm{dR}}
\newcommand\HH{\mathrm{HH}}
\newcommand\HC{\mathrm{HC}}
\newcommand\HP{\mathrm{HP}}
\newcommand\TC{\mathrm{TC}}
\newcommand\TP{\mathrm{TP}}
\newcommand{\bMap}{\mathbf{Map}}
\newcommand{\End}{\mathrm{End}}
\newcommand{\Mod}{\mathrm{Mod}}
\newcommand{\coMod}{\mathrm{coMod}}
\newcommand{\Fun}{\mathrm{Fun}}
\newcommand{\bMap}{\mathbf{Map}}
\newcommand\bE{\mathbf{E}}
\newcommand\bZ{\mathbf{Z}}
\newcommand\bAM{\mathbf{AM}}
\newcommand\bLM{\mathbf{LM}}
\newcommand\Spec{\mathrm{Spec}}
\newcommand\CAlg{\mathrm{CAlg}}
\newcommand\aCAlg{\mathfrak{a}\CAlg}
\newcommand\dCAlg{\mathfrak{d}\CAlg}
$
Details
Times: MWF 1300 for lectures.
Place: Lunt 103 for lectures.
Office hours: TBD.
Assessment: weekly assignment sheets will be provided with references readings. Each student will need to
write up the solutions to five exercises of their choice and explain the solutions informally to their peers in
exercise sessions, to be scheduled. In addition, each student will be required to complete one
longer project of their choice.
Syllabus
01/02. Algebraic de Rham cohomology. The first day of class is Tuesday 01/03.
01/09. Complexes with circle action.
01/16. Hochschild homology. No class on Monday to observe Martin Luther King Jr. Day.
01/23. Cyclotomic spectra.
01/30. The Tate diagonal. Substitute, Zoom, or postponed.
02/06. THH of $\bF_p$.
02/13. Quasisyntomic rings.
02/20. BMS2.
02/27. BMS2.
03/06. BMS2. Class on Monday only; reading period begins Tuesday.