Homework consists of two things:
Everybody will have to do these two things at least once during the semester.
- writing up detailed notes (in LaTeX) of the presentation of
another member of the class; and
- leading the discussion following a presentation (that means
coming to class having read the paper beforehand, thought about it,
and then being ready to talk about it).
You can so these for the same presentation or not, as you choose.
The schedule for doing this will be posted soon.