I 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 I will present the analogous of the exponential operator, together with sine and cosine, and give some (unexpected) statements on the behaviour of these operators. (JW with A. Altavilla)

We look forward to sharing the passion for math with you!