[CvGmt News] avviso di seminari di matematica alla Scuola Normale - maggio 2003

[Valeria Giuliani]

Gentile Prof./dott.,
la avvertiamo che nei prossimi giorni alla Scuola Normale si terrà, nell'ambito del Colloquio De Giorgi, il seguente seminario di Matematica:

Giovedì 22 maggio 2003, ore 15:00 Aula Mancini,
Prof. D. Zagier (College de France and Max Planck Institute, Bonn)
"Modular forms and their periods"
                                            Abstract:
Classical modular forms, which are a certain class of transcendental functions which transform nicely with respect to an infinite group of symmetries, have been studied for 200 years and are now one of the most important tools in number theory.  It turns out that one can associated to each modular form a certain polynomial, called its ``period polynomial,'' which encodes completely all the information contained in the modular form itself.  This gives a beautiful and very elementary approach to the theory of modular forms, with many connections to other classical number-theoretical topics such as continued fractions and Dedekind sums.  The talk will explain how this goes and, if time permits, also about analogous constructions for other kinds of automorphic functions which lead to surprising connections with topics from quite different branches of mathematics such as spectral theory, dynamical systems, and quantum invariants of knots and 3-manifolds.

Cordiali saluti
SEGRETERIA DELLA CLASSE DI SCIENZE





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