Thu, 28 Jan 2016
17:30
17:30
L6
Characterizing diophantine henselian valuation rings and ideals
Sylvy Anscombe
(University of Central Lancashire)
Abstract
I will report on joint work with Arno Fehm in which we apply
our previous `existential transfer' results to the problem of
determining which fields admit diophantine nontrivial henselian
valuation rings and ideals. Using our characterization we are able to
re-derive all the results in the literature. Also, I will explain a
connection with Pop's large fields.