Speaker:
Katarzyna Kuhlmann (Silesian University, Katowice, Poland)

Title:
The structure of spaces of real places of rational function fields over
non-archimedean ordered fields

Abstract:
In recent years, spaces of places and their structure have become a
center of interest in valuation theory and algebraic geometry. We study
those spaces of places that are associated with ordered fields: the
so-called R-places (where R denotes the field of real numbers). This is
a quotient space of the space of orderings. Already in the seemingly
"simple" case of a rational function field in one variable over
non-archimedean ordered fields, we observe a stunningly rich structure,
including an abundance of self-similarities. In this talk, we will give
a survey of the known structure and open problems.