Michael Temkin
(University of Pennsylvania)
"Riemann-Zariski spaces"
Abstract:
Riemann-Zariski spaces were introduced by Zariski in 1930ies. Although Zariski used them to prove resolution of singularities of threefolds and Nagata exploited them to prove his compactification theorem, these spaces always dwelt on the periphery of algebraic geometry. It seems that the situation is starting to change now, and some new applications and links to other areas were recently found. In this talk, I will describe the history of the subject as well as some new developments