Corso di laurea in matematica

Through the course, the student will be acquainted with central notions in probabilistic/extremal combinatorics, in order to see how these notions are entangled in the remainder of mathematics. The course will also present basic applications to matematical logic.

We will cover topics found in the chapters of the following texts (see the bibliography section for details):

Chapters 2 and 4 of the book: Marker, Model Theory: an Introduction.
Chapter 8 of the book: Hodges, Model Theory.
Chapters 2 and 11 of the book: Invariant Descriptive Set Theory.

The course will take place in the presence, except for exceptions in accordance with the provisions of the university.

Face to face lectures. Every other week homework will be assigned and discussed with the students.

There will be a written and oral exam, consisting of exercises and questions about the contents of the lectures and the exercises. The grade is on a scale of 0 to 30.

Following regulations in the midst of the Covid-19 pandemic, online exams could be held, on Webex and Moodle.

The exam is permitted only to those student who have not sustained this exam in their undergraduate program

We will give exercises and problems that can be solved as a group work. These will serve both pedagogically, and could also serve as bonus in the final exam.