We also saw that λ2 = minR(y). The issue is that we may have vol(St) > vol(V −St). To fix this, we will modify y so that vol(supp(y)) ≤ m (recall that vol(V ) = 2m). The idea is to pick c such that the two sets {i : y(i) < c} and {i : y(i) > c} both have volume at most m, then find St for both of them and take the best one. This lecture is derived from Lau’s 2012 notes, Week 2, http://appsrv.cs...

These are the notes for an April XX, 2006 lecture given (by me) at the Mathematical Sciences Research Institute on the subject of period-index problems. There is, however, significantly more detail and ancillary material – I imagine the notes for the lecture itself as being written on paper with very ample margins, and these notes contain the marginalia. But these are still much more lectures n...

Reminder concerning the final: The exam will be Tuesday May 9, at the usual class time. It will be “closed-book” (no books, no lecture notes), however you may bring two sheets of notes (8.5 × 11, both sides, write as small as you like). You are responsible for the material in Sections 1-6 of the lecture notes, and in Homeworks 1-6. See the separate handout for further discussion of what to expe...