Cristian Lopez Morales (UNAL)

Join us for the first talk in the joint seminar with CCMS Applied Math and the Universidad Nacional de Colombia

Title

Serre Conjecture. Geometric interpretation of the Quillen-Suslin Theorem.

Abstract:

The Quillen-Suslin theorem asserts that over the polynomial ring with coefficients in a field K[x_1,…,x_n], every projective module is free. Despite the algebraic nature of the objects involved in this theorem and its proof, this is a problem motivated by geometry.

Originally, this problem was proposed by the French mathematician Jean-Pierre Serre as one of his famous conjectures. In this talk, we will discuss the original formulation of Serre’s conjecture (the Quillen-Suslin theorem), along with the necessary concepts to translate the geometric statement into the algebraic one.