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After this course you will be well prepared for the January 11-14, 2027 winter school:

https://www.mn.uio.no/math/english/research/projects/norstage/winter-school-on-characteristic-classes.html

The registration deadline is November 1, 2026.

- John

I made some notes on the cup product structure in the cohomology of the torus T = M_1 and the projective plane RP^2 = N_1.  These are a little simpler than Hatcher's treatment of the general surfaces M_g and N_h.

For those participating in the lectures, the mandatory assignment will be to present a total of two exercises from Hatcher's book.  We start September 21th with Exercises 1, 2 from Section 3.2, marked as 1* and 2* in the lecture schedule.  You may volunteer for one of these on September 14th.

PS: If you are not following the lectures, but plan to take the exam, please write to rognes@math.uio.no and let me know whether you already have a completed mandatory assignment from an earlier year, or if you need to submit a written assignment for this year.

The notes for the second and third lectures, on the universal coefficient theorems, have been updated.

The plan for the first lectures now appears under "Schedule in TP" (I prefer the "List" view), including my notes for a quick overview.