Topics course: Topics in number theory

Instructors: Bart de Smit and Peter Stevenhagen.
Mondays 13:45 - 15:30, from February 2 until May 18 2009, except March 23, April 13, April 27, in room 401.

Final Grades: see this list [PNG]

Program:

Feb 2 Bart de Smit: context, schedule, addition on elliptic curves
Feb 9 No meeting, because of the Dies
Feb 16 Miguel Urquidi: local fields
Peter Stevenhagen: Squares in Qp
Feb 23 Andrea Toth, Adrienn Lestar: torsion points, reduction
Mar 2 Bart de Smit: overview
Mar 9 Maria Filip: local/global for conics, part 1
Marijke van Bommel: elliptic curves over C
Mar 16 Shreya Khemani: Mordell's theorem, part 1
Maria Filip: local/global for conics, part 2
Mar 23 No meeting
Mar 30 Shreya Khemani: Mordell's theorem, part 2
Julio Brau: Mordell's theorem, part 3
Apr 6 Joost Michielsen, Michiel Kosters: Hasse-Weil bound
Apr 13 No meeting
Apr 20 Matthijs van Duin: The Montgomery modular form
Bassel Chehade: Tate modules
Apr 27 No meeting
May 4 No meeting
May 11 (three hours)
Alberto Gioia: Representing primes by quadratic forms
May 18 (three hours)
Matthijs van Duin: The Montgomery modular form, part 2
Haoran Wang: The Tate curve
Daniele Orlandi: CM theory

Topics: arithmetic of elliptic curves, local fields, class field theory

Literature:

Examination: No final exam. Active participation is required.