The Calderón problem from classical to fractional

After a brief explaination of the meaning and scope of inverse problems, in this talk I will introduce the most famous of them, the classical Calderón problem. I will give an idea of the main known results, the used techniques, some variants of the problem and a small collection of open questions. I will then consider the fractional Calderón problem, whose characteristics and available results are largely different than those of its classical counterpart. I will also show some real-life applications.