Done on 20121112:
  Why we want to give facts about QS. QS technology is modern in many
  ways.
  Inform about cut-off with NFS.
  The idea of sieving.
  Why we store logarithms. Assuming accurate calculations, proof that
  sieve reports correspond to smooth numbers.
  Some talk about sieving with powers.
  Analysis. Mnemotechnics about sums over primes.
  MPQS
  Large primes.
  Talk a bit about yield optimization in CFRAC / MPQS, but too fast to
  give real details. 
  Teaser for next time about sparse linear algebra.

  Exercise: QS analysis with keeping track of factors while sieving.