ECC2016 Computational Algebraic Number Theory School
This school
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Ravzan Barbulescu
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Omer Kucuksakalli
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Université Pierre et Marie Curie, Laboratoire IMJ-PRG, Paris, France | Middle East Technical University (METU), Ankara, Turkey | ||
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Maike Massierer
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Benjamin Smith
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University of New South Wales (UNSW), Sydney, Australia | Équipe-Projet GRACE, INRIA Saclay–Île-de-France and Laboratoire d'informatique (LIX), École polytechnique, Paris, France | ||
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Peter Stevenhagen
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Osmanbey Uzunkol
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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 andRazvan 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 andRazvan 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 andOmer Kucuksakalli andRazvan 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 AuditoriumA011 F001, Yasar University, Selcuk Yasar Campus, Izmir, Turkey. The auditorium can accommodate a maximum of154 60 persons. The auditorium is equipped with air-conditioning, overhead projectors, boards, desk per seat, WIFI,HD broadcast to Internet infrastructure, and sound system.
20th Workshop on Elliptic Curve Cryptography
Yasar University