09:30
11:50

Xavier Caruso’s seminar

As a general rule, the solutions of linear differential equations are transcendental functions, even if the coefficients of the equation are polynomials or rational fractions. There are, however, cases where differential equations of interest have algebraic solutions: this type of phenomenon is not trivial and is encountered in various branches of mathematics, including combinatorics and number theory. In this talk, I will explain how the algebraicity or non-algebraicity of solutions can be detected using arithmetic methods. This will lead us, in particular, to state and discuss the famous Grothendieck-Katz conjecture.

Amphi LaBRI