A CIMPA research school on
Explicit Number Theory
The University of the Witwatersrand
Johannesburg, South Africa January 8th- 19th, 2018



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Lecturers
Practical Informations
Courses

Introduction to Analytic Number TheoryFlorian Luca
Introduction to Algebraic Number TheoryValerio Talamanca
Explicit solution of Diophantine equationsYuri Bilu
Explicit lower bounds for heights of algebraic numbersShabnam Akhtari
Explicit Methods in Algebraic Number TheoryAmalia Pizarro
Elliptic Curves over finite fields with prescribed orderFrancesco Pappalardi and Peter Stevenhagen

Schedule


 
Classes of the first week will be held in the Oliver Schreier School of Law, room LB143 for Monday Tuesday Wednesday, and room LB146 Thursday and Friday
Classes of the second week will be held in the First National Bank Building room FNB 148.
The two buildings are in front of each other and both are 200 meters north of the David Webster Hall, and are clearly indicated on the map of the Braamfontein Campus West.
Week 1
MondayTuesdayWednesdayThursdayFriday
09.00-09.50Registration
and
Opening Ceremony
Analytic Number Theory
Luca		 Algebraic Number Theory
Talamanca		 Explicit Methods in ANT
Pizarro		 Elliptic Curves
Pappalardi/Stevenhagen
10.00-10.50
10.50-11.10 BREAK
11.10-12.00
Analytic Number Theory
Luca
Algebraic Number Theory
Talamanca
 Algebraic Number theory
Talamanca		 Elliptic Curves
Pappalardi/Stevenhagen		 Analytic Number Theory
Luca		 Algebraic Number theory
Talamanca
12.10-13.00
13.00-15.00LUNCH
15.00-15.50 Elliptic Curves
Pappalardi/Stevenhagen		 Diophantine Equations
Bilu		 Free
Afternoon		 Diophantine Equations
Bilu		 Exercises session
16.00-16.50



Week 2
MondayTuesdayWednesdayThursdayFriday
09.00-09.50 Explicit Methods in ANT
Pizarro		 Elliptic Curves
Pappalardi/Stevenhagen		 Heights of algebraic numbers
Akhtari		 Elliptic curves
Pappalardi/Stevenhagen
Explicit Methods in ANT
Pizarro
Elliptic curves
Pappalardi/Stevenhagen
10.00-10.50
10.50-11.10 BREAK
11.10-12.00
Diophantine Equations
Bilu
Heights of algebraic numbers
Akhtari
 Diophantine Equations
Bilu		 Explicit Methods in ANT
Pizarro		 Heights of algebraic numbers
Akhtari		 Invited seminars
12.10-13.00
13.00-15.00LUNCH
15.00-15.50 Analytic Number Theory
Luca		 Heights of algebraic numbers
Akhtari		 Participants seminar Free Afteroon
16.00-16.50