Referent: Martin Hofer, Construction of elliptic p-units

Zeit: Donnerstag, 09.05.2019, 17:00 h

Ort:Raum 48-436

Special values of elliptic functions have been studied since the 19th century, an example being the elliptic units defined by G. Robert in the 1970s. Interest in elliptic units has reemerged in the more recent past as they have proven to be quite useful in Iwasawa theory in cases where the base field k is imaginary quadratic. In this talk we present a construction of certain p-units with the help of classical elliptic units and compute their valuation when a rational prime p is non-split in k. This result, which can be used in Iwasawa theory, is an extension of the work done in the split case by W. Bley and a natural analogue of the cyclotomic situation proved by D. Solomon. In particular, we want to present how we collected numerical evidence for our theorem before proving it. Most parts of this project are joint work with W. Bley.