## Cohomological methods in arithmetic geometry. KU Leuven

Arithmetic geometry studies solution sets of systems of polynomial equations over fields that are not algebraically closed. The most famous from arithmetic geometry is probably Fermat’s Last Theorem, which states that for every integer n > 2, and for every pair of rational numbers a en b such that a^n + b^n = 1, we have ab = 0. This result was proven by Andrew Wiles in 1995. The most fundamental question in arithmetic geometry is whether a ...