Institut für Mathematik


Modul:   MAT770  Oberseminar: Algebraische Geometrie

Algebraic classes in mixed characteristic and a class of p-adic periods

Vortrag von Dr. Giuseppe Ancona

Datum: 06.12.21  Zeit: 13.15 - 15.00  Raum: Y27H25

Motivated by the study of algebraic classes in mixed characteristic we define a countable subalgebra of Q_p which we call the algebra of "p-adic periods". We will explain the analogy and the difference between these p-adic periods and the classical complex periods. For instance, they both contain several examples of special values of classical functions (logarithm, gamma function,...) and they share transcendence properties. On the other hand, the classical tannakian formalism which is used to bound the transcendence degree of complex periods has to be modified in order to be used in the p-adic setting. We will discuss concrete exemples of all these instances though elliptic curves and Kummer extensions.