Speaker: Henry Klatt, George Washington University
Title: Cohesive Products of Galois Extensions
Abstract: Cohesive Products are a computability theoretic analog to the ultraproduct. The domain is restricted to partial computable functions, and the ultrafilter is replaced with a cohesive set, which cannot be split into infinite pieces by any computably enumerable set. In this talk, we will present an introduction to the topic, and then discuss recent work by R. Dimitrov, V. Harizanov, H. Klatt, and K. Srinivasan on cohesive products of Galois extensions. In particular, we will focus on the cohesive product of galois actions, which leads one naturally into an exciting world of non-standard number theory, complete with pseudo-finite galois extensions and infinite polynomials.
The talk will be presented in-person and virtually and can be viewed either in Pearson 3131 or via https://iastate.zoom.us/j/92353676450