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Cristian Lopez Morales (UNAL)
February 19 @ 4:15 pm - 5:15 pm
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.
