Pure Maths Colloquium: Describing transcendence degree in an elementary way
9 November 2009 16:15 in CM 107
I will discuss about how one can express the transcendental degree of arithmetical fields in a first order way. The "recipe" is based on the Milnor Conjecture (as proved by Vojevodsky, Rost, et al). Elaboration on the method leads to a way to describe isomorphism classes of function fields of curves over number fields in an elementary way.