SEMINARIO
DI MATEMATICA
ore16.00
Scuola Normale
Superiore
Pisa
(Aula Bianchi)
Daniele
Disegni
Columbia
University New York
Terrà un
seminario dal titolo:
“Special
values of L functions and their derivatives”
Abstract
L
functions are functions of one complex variable associated to various objects of
arithmetic intereset (basic examples being the Riemann zeta function, or the L
function of an elliptic curve). A wealth of information about the object under
consideration can be extracted from its L function. This talk will propose an
introduction to a web of conjectures (Zagier, Birch and Swinnerton-Dyer,
Bloch-Beilinson,...) relating the values of L functions (and their derivatives)
at integer arguments to arithmetic invariants. The known results in these
directions are partial but significative: I will survey some of them,
concentrating on those based on explict formulas (Gross-Zagier and
generalizations).
Tutti gli
interessati sono invitati a partecipare.
Classe
di Scienze