Mathematisches Institut GeorgAugustUniversität Göttingen 
Clay Mathematics Institute Summer School "Arithmetic geometry"  Computational Seminar 
Week 1 
July 17 
July 18 
July 19 
July 20 
July 21 

16:00 
S. Wiedmann Introduction to computers at the MI 
G. Pfister Applying Computer Algebra in Mathematical Research: An example from Group Theory. Lecture Part 1 Lecture Part 2 
J. Jahnel Rational points on hypersurfaces Lecture 
M. Stoll Computations with genus 2 curves 
M. Stoll Computations with genus 2 curves Lecture 
17:3018:30 (Multimediaraum)  Barbecue (17:30) 
Exercises Article Singular Scripts exmagma1.mag 
Exercises Simple Magma Exercises from the Book of Joyner, Kreminski, Turisco 
Exercises with M. Stoll ellchab.magma kleinquartic.magma g2ff.magma ratcycles.magma 
Exercises with M. Stoll 
Week 2 
July 24 
July 25 
July 26 
July 27 
July 28 

16:00 
H. Chapdelaine The generalised Fermat equation 
S. Wiedmann Zeta functions of regular graphs Lecture Graph movie 

17:3018:30 (Multimediaraum)  Exercises Simple Magma Exercises from the Book of Joyner, Kreminski, Turisco 
Exercises ad2Tmatrix LPS.mag terras.mag 
P. Charollois Frey's method and ternary Diophantine equations 
Week 3 
July 31 
August 1 
August 2 
August 3 
August 4 

16:00 
N. Elkies Newton iteration for simultanous algebraic equations 
O. Labs Construction of hypersurfaces with singularities via finite fields 
J. Voight Shimura curve computations 
J. Schicho Construction of rational points on rational surfaces 
M. Greenberg Elliptic curves over imaginary quadratic fields 
17:3018:30 (Multimediaraum)  Exercises with N. Elkies K3family.gp newton.gp 
Exercises with O. Labs exercises.pdf searchInFamilies.lib searchInFamilies_cub4_all.sin olitools.lib searchInFamilies_manySings.lib searchInFamilies_quart16_exercise.sin searchInFamilies_quint31_exercise.sin surfex.lib surfex_0_89_03.tar.gz 
Exercises with J. Voight 
Exercises with J. Schicho dp6.tar dp8.tar Type: tar xfv dp6.tar resp. tar xfv dp8.tar 
Exercises 