ECC2016 Computational Algebraic Number Theory School
This school
Ravzan Barbulescu

Omer Kucuksakalli


Université Pierre et Marie Curie, Laboratoire IMJPRG, Paris, France 
Middle East Technical University (METU), Ankara, Turkey 

Maike Massierer

Benjamin Smith


University of New South Wales (UNSW), Sydney, Australia 
ÉquipeProjet GRACE, INRIA Saclay–ÎledeFrance and Laboratoire d'informatique (LIX), École polytechnique, Paris, France 

Peter Stevenhagen

Osmanbey Uzunkol


Leiden University, Leiden, Netherlands 
Mathematical and Computational Sciences, Tubitak, Gebze, Turkey 
Date 
Time 
Talk/Event 
Media 
Sept 1 
09:00  09:45 
Peter Stevenhagen, "Overview  The history of Algebraic Number Theory" 

09:45  10:00 
Break 

10:00  10:45 
Razvan Barbulescu, "Overview  Algebraic Number Theory in Cryptography" 
[SLIDES]  
10:45  11:00 
Coffee/Tea Break 

11:00  11:45 
Omer Kucuksakalli, Part I: "Rings and fields, field extensions, modules, free abelian groups, algebraic numbers, conjugates and discriminants, algebraic integers, integral bases, norms and traces, ring of integers." 
[SLIDES]  
11:45  12:00 
Break 

12:00  12:45 
Omer Kucuksakalli, Part II: "Rings and fields, field extensions, modules, free abelian groups, algebraic numbers, conjugates and discriminants, algebraic integers, integral bases, norms and traces, ring of integers." 
[SLIDES]  
12:45  14:00 
Lunch 

14:00  14:45 
Osmanbey Uzunkol, Part I: "Examples of number fields: quadratic fields, cubic fields, cyclotomic fields. Prime ideal decomposition. Class group. Generalization to arbitrary orders." 
[SLIDES]  
14:45  15:00 
Break 

15:00  15:45 
Osmanbey Uzunkol, Part II: "Examples of number fields: quadratic fields, cubic fields, cyclotomic fields. Prime ideal decomposition. Class group. Generalization to arbitrary orders." 

15:45  16:00 
Coffee/Tea Break 

16:00  17:45 
Omer Kucuksakalli and Razvan Barbulescu, "Computer Algebra Lab Session @ Room F106" 

Sept 2 
09:00  09:45 
Peter Stevenhagen, Part I: "Finiteness of class group and Dirichlet's unit theorem" 

09:45  10:00 
Break 

10:00  10:45 
Peter Stevenhagen, Part II: "Finiteness of class group and Dirichlet's unit theorem" 

10:45  11:00 
Coffee/Tea Break 

11:00  11:45 
Razvan Barbulescu, "The computation of class groups and units" 
[SLIDES]  
11:45  12:00 
Break 

12:00  12:45 
Peter Stevenhagen, "Quadratic orders" 

12:45  14:00 
Lunch 

14:00  15:45 
Omer Kucuksakalli and Razvan Barbulescu, "Computer Algebra Lab Session @ Room F106" 
[FILES]  
15:45  16:00 
Coffee/Tea Break 

16:00  20:00 
Social Event  Downtown City Tour 

Sept 3 
09:00  09:45 
Peter Stevenhagen, Part I: "Class field theory; the rational and imaginary quadratic base fields. Complex multiplication" 

09:45  10:00 
Break 

10:00  10:45 
Peter Stevenhagen, Part II: "Class field theory; the rational and imaginary quadratic base fields. Complex multiplication" 

10:45  11:00 
Coffee/Tea Break 

11:00  11:45 
Osmanbey Uzunkol, Part I: "Generating various class fields by modular functions" 

11:45  12:00 
Break 

12:00  12:45 
Osmanbey Uzunkol, Part II: "Generating various class fields by modular functions" 

12:45  14:00 
Lunch 

14:00  14:45 
Benjamin Smith, Part I: "Constructing elliptic curves over finite fields with "known" Frobenius" 

14:45  15:00 
Break 

15:00  15:45 
Benjamin Smith, Part II: "Constructing elliptic curves over finite fields with "known" Frobenius" 

15:45  16:00 
Coffee/Tea Break 

16:00  17:45 
Maike Massierer and Omer Kucuksakalli and Razvan Barbulescu, "Computer Algebra Lab Session @ Room F106" 
[FILES]  
Sept 4 
09:00  09:45 
Benjamin Smith, Part I: "Point counting for elliptic curves over finite fields" 

09:45  10:00 
Break 

10:00  10:45 
Benjamin Smith, Part II: "Point counting for elliptic curves over finite fields" 

10:45  11:00 
Coffee/Tea Break 

11:00  11:45 
Razvan Barbulescu, Part I: "Variants of NFS for fields of p^n elements when n>1" 

11:45  12:00 
Break 

12:00  12:45 
Razvan Barbulescu, Part II: "Variants of NFS for fields of p^n elements when n>1" 

12:45  14:00 
Lunch 

14:00  14:45 
Maike Massierer, Part I: "Recent advances in Index Calculus methods" 
[SLIDES]  
14:45  15:00 
Break 

15:00  15:45 
Maike Massierer, Part II: "Recent advances in Index Calculus methods" 

15:45  16:00 
Coffee/Tea Break 

16:00  
Closing remarks, open problems (Chair: Peter Stevenhagen) 
The school will take place at Auditorium A011 F001, Yasar University, Selcuk Yasar Campus, Izmir, Turkey. The auditorium can accommodate a maximum of 154 60 persons. The auditorium is equipped with airconditioning, overhead projectors, boards, desk per seat, WIFI, HD broadcast to Internet infrastructure, and sound system.