Colloquium February 7
Date: Friday February 7
Time: 16:00 to 17:00
Place: 216 McBryde
Speaker: Aihua Li of Loyola University New Orleans, visiting Virginia Tech
Title: Spectra of Certain Two-Dimensional Noetherian Integral Domains
Abstract
For a ring R, the spectrum, Spec(R),
is the partially ordered set of
prime ideals of R ordered by inclusion. This talk is in favor of the
prime structure of Z[x], the polynomial ring
in one variable over the
integers. In 1986, Roger Wiegand conjectured that any two-dimensional
integral domain which is a finitely generated Z-algebra has prime
spectrum order-isomorphic to Spec(Z[x]).
This talk will give a
history and recent development about the conjecture and describe a
class of Noetherian integral domains whose spectra are
order-isomorphic to Spec(Z[x]).
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