Speaker: 
Alessandro Linzi (University of Szczecin)

Title: 
Structures for quantifier elimination in valued fields

Abstract:
There are many structures which are naturally associated to 
a valued field. For instance, we have the value group and the 
residue field. Some model theorists will probably know about 
the RV-structures or leading term structures. Some algebraic 
geometers have certainly heard about the graded ring associated 
to a valued field. Perhaps less known is the fact that to any 
valued field it is possible to associate (valued) hyperfields. 
The latter observation was made by Marc Krasner in 1957.
In this talk, we will consider all of the above mentioned 
structures with a view on the problem of quantifier elimination 
in henselian valued fields of characteristic 0.