News on period numbers

14.05.2025 15:15 - 16:45

Annette Huber-Klawitter (Universität Freiburg)

Abstract:
Period numbers are complex numbers obtained by integrating a differential form with rational coefficients over a suitable domain of integration, also defined over the algebraic numbers. They are obiquitous in mathematics. Examples are π, log(2), ζ(3). Their transcendence properties are the object of long-standing conjectures. We report on joint work with Wüstholz, finally settling the case of 1-forms.

Organiser:
M. Aschenbrenner, R. I. Bot
Location:

Sky Lounge, 12. OG, OMP 1