Corso Don Zagier

[ICTP Math Section]

> Begin forwarded message:
>
> *From: *Marcello Porta <mporta at sissa.it>
> *Subject: **Corso Don Zagier*
> *Date: *23 March 2025 at 22:32:30 GMT+1
> *To: *arezzo <arezzo at ictp.it>
>
>
>
> Dear All,
>
> this is to announce the starting of the course of Prof. Don Zagier 
> (Max Planck Institute for Mathematics, Bonn), on Monday March 31, at 
> SISSA.
>
> *Title: *From quadratic forms to modular forms to quantum modular forms
>
> *Abstract: *The theory of quadratic forms and the theory of modular 
> forms are two of the pillars of classical number theory. Serre's 
> famous advanced introductory text "Cours d'Arithmétique" consisted of 
> two parts, an algebraic part on quadratic forms and an analytic part 
> leading to the theory of modular forms. The course will provide an 
> introduction to some of the main parts of both theories and discuss 
> both the classical connections between them (such as the theory of 
> theta functions, which are used in coding theory and many other parts 
> of mathematics) and a several more recent but also very interesting 
> ones. The last part of the course will introduce the relatively recent 
> notion of quantum modular forms, with many examples, ranging from odd 
> weight Eisenstein series to quantum invariants of knots and 
> 3-dimensional manifolds. Everything will be presented from the 
> beginning, with no prerequisites beyond standard topics like Cauchy's 
> theorem.
>
> *Time and venue:* Monday and Friday from 14:00 to 16:00, in room 136.
>
> *Duration: *40 hours.
>
> The webpage of the course is here. 
> <https://www.math.sissa.it/course/phd-course/quadratic-forms-modular-forms-quantum-modular-forms>
>
> With best regards,
>
> Marcello Porta
>
> SISSA
> Mathematics Area
> Via Bonomea 265
> 34136 Trieste, Italy
> https://sites.google.com/view/marcelloporta/home
>

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