Notes

Here are some notes I’ve written down that might be useful.

• Motivic precursors to synthetic spectra.

  These notes are for a talk in a reading seminar on synthetic spectra at Stockholm University, In which I introduced the motivic stable homotopy category to homotopy theorists and outlined some key points of the theory of cellular motivic spectra over the complex numbers. pdf

• Rigid analytic coordinates on the stack of one-dimensional formal groups.

  This is a translation of a preprint by Laurent Fargues (accessed 2024-04-08) on a new rigid analytic description of the overconvergent generic fibre of the moduli stack of one-dimensional formal groups of finite height. In particular, expressing it as a quotient of a finite dimensional projective space by a group action. The original is in French, thanks to Thiago Solovera e Nery for mathematical help. pdf