Maths is often seen as a bunch of rules to follow so to find the right answers. But often mathematicians make up new rules and explore new world that emerges from those rules. In this talk, we'll go back to the basics and define addition again, but in two new unexpected ways. This introduction to number theory will lead us into the world of cryptography: how do you communicate with your bank on-line with the knowledge no one else can steal your information.
Mathematics has a lot of rules such as 10+5 = 15 or that the sum of the angles in a triangles is always 180degrees. But the setting is important as to whether those rules are true or not, and mathematicians love to explore other settings and seeing which rules changes and which might still be true.
In this workshop we will explore how a different setting for arithmetic or geometry can break the rules we are used to, and what new rules we can discover.