Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
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Odoni's Conjecture On Iterated Polynomials And Algebraic Extensions Of $\Mathbb Q$
In the field (now) known as Arithmetic Dynamics, Odoni in 1985 conjectured a sweeping statement about Galois groups of iterated polynomials over arbitrary Hilbertian fields, which was decisively disproved by fellow MSRI postdoc Borys Kadets and myself during the first part of the DDC programme. I will give a gentle introduction to the problem, and indicate how counterexamples are ubiquitous even among algebraic extensions of the rational numbers. I will particularly highlight some aspects of the construction of counterexamples of interest to the Hilbert 10 community.
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