Towers of totally real nested square roots: undecidability, the lattice of subfields, and the quartic extensions within the tower
Xavier Vidaux (Universidad de Concepción)
25-Aug-2022, 18:00-19:00 (3 years ago)
Abstract: After recalling some first order undecidability results in infinite algebraic extensions of the field of rational numbers, I will talk about a concrete family of 2-towers of totally real number fields, namely, , where for some given positive integers and . Let be the union of the . Though these fields are somewhat the simplest subfields of an algebraic closure of that one may construct, they hide a rich variety of natural problems of topological, algebraic, dynamical and logical nature. The results that I will present about these fields are due to M. Castillo, C. Videla, and who writes.
commutative algebralogicnumber theory
Audience: researchers in the topic
Series comments: Description: Seminar on all areas of logic
Organizer: | Wesley Calvert* |
*contact for this listing |
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