UCSD Spectral Sequences Seminar, Fall 2006

Tuesdays 10:30-12:00 in room 7218.

Organisers: Justin Roberts, Nitu Kitchloo

As usual for our Tuesdays seminar, this is a ``learning seminar''. The plan for this term is to learn about spectral sequences and their applications in topology. The prerequisite is a reasonable understanding of homology theory and the sort of material in the graduate topology course (290).

Some good references:

McCleary "A user's guide to spectral sequences"
Griffiths and Morgan "Rational homotopy theory"
Bott and Tu "Differential forms in algebraic topology"
Mosher and Tangora "Cohomology operations and applications to homotopy theory"
Hatcher's notes on spectral sequences
Switzer "Algebraic topology - homotopy and homology"

Highly provisional outline of lecture topics:

Sept 26: Introductory meeting
Oct 3: Justin Roberts Filtered complexes and spectral sequences
Oct 5: John McCleary (Vassar) Tricks with spectral sequences (Colloquium, Thursday at 4, Halkin room)
Oct 10: Neeraj Pradhan The Serre spectral sequence - I
Oct 17: Justin Roberts The Serre spectral sequence - II
Oct 24: Maia Averett The Eilenberg-Moore and bar spectral sequences
Oct 31: Maia Averett The Eilenberg-Moore and bar spectral sequences - II
Nov 7: Nitu Kitchloo The Eilenberg-Moore and bar spectral sequences - III
Nov 14: Ben Cooper Spectral sequences in algebra
Nov 21: Henning Hohnhold The Adams spectral sequence
Nov 28: TBA
Dec 5: TBA

justin@math.ucsd.edu