Problema of effectivity for diophantine equations

Period of duration of course
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Course info
Number of course hours
30
Number of hours of lecturers of reference
30
Number of hours of supplementary teaching
0
CFU 5
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Modalità esame

Oral exam and seminars

Lecturer

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Prerequisiti

There are no special prerequisites, though a eretain familiarity with basic of Number Theory and geometry of curves will be very useful.

the cycle is addressed to all students from IV year onwards.

Programma

This seminar series will start with general considerations on the importance of effectivity issues in mathematics, in particular in the field of Diophantine equations.

subsequently we shall illustrate different problems and methods for obtaining effectivity in this realm.

compatibly with times, at the end we intend to present a new method to deal with certain curves of genus 2, to find effectively the integral points, which is an issue largely open to date.

Obiettivi formativi

To inform the audience about basic mathematical issues.

Riferimenti bibliografici

Serre's lectures on the Mordell-Weil Theorem. But other references will be given during the seminars.