Katarzyna Kuhlmann (University of Silesia at Katowice)

Title: On the topological representation of a real holomorphy ring

Abstract:
The real holomorphy ring H of a formally real field K is the intersection of all real valuation rings. 
It can be used to study continuous functions from the space M of R-places (= ring homomorphisms from H 
to the field R of real numbers) into n-dimensional spheres S^n. Understanding these functions is very
important for the study of sums of squares in formally real fields.

The talk is based on results and an open question by Eberhard Becker.