Chiara de Fabritiis (Università Politecnica delle Marche, Ancona): * - Logarithm for Slice-Regular Functions of a Quaternionic Variable

We will introduce the notion of slice regular function on a (symmetric) domain of the quaternions and will give results on the structure of the space of slice regular functions, focusing in particular on the * - product and the structure of the zeroes of the elements of this space. Then we will present the analogous of the exponential operator, and its (partial) inverse the * - logarithm, and give some (unexpected) statements on this operator.

(joined work with A. Altavilla)

The seminar is organized together with UP FAMNIT.