Minhyong Kim

Some of the most remarkable achievements of science are the mind-boggling measurements it has contributed throughout history to our collective understanding of the universe. For example, a simple Google search will reveal that the radius of our...

We recall the formalism of arithmetic fundamental groups according to Grothendieck and the circle of ideas surrounding his 1983 letter to Faltings. We discuss also non-abelian reciprocity maps and applications to Diophantine problems.