[nts] Fall 2001 reading course/seminar in arithmetic geometry

Bjorn Poonen poonen@math.berkeley.edu
Thu, 23 Aug 2001 11:58:23 -0700 (PDT)


Some grad students will be doing a reading course/seminar with me this
semester based on the topics and texts listed below (possibly subject
to change, depending on students' interests).  We will be meeting for
an hour or so each week at a time and place in Evans to be determined.
If you are interested in possibly joining, for at least some of the
topics, send me an email listing the times (e.g. Wed 3-4) that are
regularly NOT possible for you.  Please pass this email on to any
number theory students who might not be on the nts list.

Bjorn


			SYLLABUS
Galois cohomology: 
	Serre, Local Fields  (Section III: Ch 7+appendix, Ch 8, Ch 10)
Mordell-Weil Theorem for elliptic curves: 
	Silverman, Arith of Ell Curves (Ch 8+10)
Statements of class field theory:
	Cassels & Frohlich, Alg Number Thry (Ch 6, Ch 7 up to section 5)
Abelian varieties:
	Milne, lecture notes on abelian varieties
More arithmetic geometry:
	Serre, Lectures on the Mordell-Weil Theorem