The Spectral Sequences Project

This is a monorepo containing various projects:

1. ext A general library to work with Ext over an Fp algebra. More generally, it allows us to work compute in the derived category of said algebra. The primary purpose is to compute the classical Adams E2 page by computing Ext over the Steenrod algebra.

2. web_ext Web interfaces to ext. There are two subprojects at the moment:

• sseq_gui: A GUI to work with the Adams spectral sequence. Given a Steenrod module, this computes its Ext and displays the associated Adams spectral sequence. The user can then interactively input differentials and the program can propagate differentials via the Leibniz rule.

  This can be tried out at https://spectralsequences.github.io/sseq/ which does not require installation.

• steenrod_calculator: This is a simple user interface to compute sums and products in the Steenrod algebra and express the result in either the Adem or Milnor basis.

  This is available at https://spectralsequences.github.io/sseq/calculator/ .

3. python_ext WIP python bindings for the ext library.

4. chart A general spectral sequence web interface, with a python-based repl for programmatic interaction.